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Unit 7.1 - Angles of Polygons

8th - 10th grade, mathematics.

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  • 1. Multiple Choice Edit 45 seconds 1 pt What is the SUM of the angle measures in a nonagon (9 sides)? 1440° 900° 1080° 1260°
  • 2. Multiple Choice Edit 1 minute 1 pt What is the SUM of the angle measures in a hexagon (6 sides)? 720° 1080° 600° 540°
  • 3. Multiple Choice Edit 1 minute 1 pt What is the SUM of the angle measures in a triangle (3 sides)? 60° 90° 120° 180°
  • 4. Multiple Choice Edit 1 minute 1 pt What is the measure of ONE interior angle in a regular pentagon (5-sides)? 90° 108° 120° 180°
  • 5. Multiple Choice Edit 1 minute 1 pt What is the measure of  ONE interior angle  in a regular hexagon (6 sides)? 60° 80° 108° 120°
  • 6. Multiple Choice Edit 1 minute 1 pt What is the measure of ONE interior angle in a regular pentagon (5-sides)? 90° 108° 120° 180°
  • 7. Multiple Choice Edit 2 minutes 1 pt What is the measure of  ONE interior angle  in a regular hexagon (6 sides)? 60° 80° 108° 120°
  • 11. Multiple Choice Edit 1 minute 1 pt The sum of the exterior angles of a polygon is __________________ where n is the number of sides. 360 n (n - 2)180 (n - 1)180
  • 12. Multiple Choice Edit 5 minutes 1 pt A polygon's interior angles add up to 2700.  How many sides does the polygon have? 17 15 19 11
  • 13. Multiple Choice Edit 3 minutes 1 pt Find the measure of ONE exterior angle of a regular decagon. 36 10 18 40
  • 14. Multiple Choice Edit 30 seconds 1 pt What is a Regular Polygon? All sides different length and different angles All sides different length and same angles All sides equal length and different angles All sides equal length and equal angles
  • 15. Multiple Choice Edit 30 seconds 1 pt Interior Angles are... inside the polygon outside the polygon
  • 16. Multiple Choice Edit 30 seconds 1 pt Exterior Angles are... inside the polygon outside the polygon
  • 17. Multiple Choice Edit 30 seconds 1 pt What do the exterior angles of a polygon add up to? 60 degrees 360 degrees 180 degrees 100 degrees
  • 18. Multiple Choice Edit 30 seconds 1 pt What is the formula for finding the sum of interior angles of a 20-sided polygon? (20-2) x 180 20 x 180 360
  • 19. Multiple Choice Edit 30 seconds 1 pt The exterior angle is 60 degrees, how much is the interior angle? 360 0 - 60 0 = 300 0 180 0 - 60 0 = 120 0
  • 20. Multiple Choice Edit 30 seconds 1 pt If an interior angle is 120 degrees, how much is its exterior angle? 60 degrees 140 degrees 240 degrees

Solve for x.

  • 24. Multiple Choice Edit 30 seconds 1 pt Solve for one EXTERIOR angle of a REGULAR nonagon (9-sided figure). 140 degrees 40 degrees

Find the value of X.

Find the measure of angle K.

What is the sum of the exterior angles of a 20-gon?

Find the value of the variable(s).

x = 50, y = 61

x = 100, y = 50

x = 100, y = 69

x = 50, y = 50

  • 31. Multiple Choice Edit 5 minutes 1 pt The sum of the interior angles in a polygon is 3,240 o .  How many sides are in the polygon? 10 582,840 18 20
  • 32. Multiple Choice Edit 5 minutes 1 pt Three of the angles in a quadrilateral have a sum of 252 o .  What is the measure of the fourth angle? 108 o 360 o 72 o 56 o
  • 33. Multiple Choice Edit 5 minutes 1 pt An exterior angle in a regular polygon has a measure of 18 o .  What is the sum of the interior angles in this polygon? 180 o 3,240 o 1,440 o 360 o
  • 34. Multiple Choice Edit 2 minutes 1 pt What is the formula for a particular exterior angle in a regular polygon? 180(n−2) 180(n−2)÷n 360 360/n
  • 35. Multiple Choice Edit 1 minute 1 pt What is the formula for the sum of interior angles in a polygon? 180(n−2) 180(n−2)÷n 360 360/n

Which of the following is NOT a polygon?

What polygon is this?

quadrilateral

  • 39. Multiple Choice Edit 1 minute 1 pt Which polygon has 9 sides? Decagon Nonagon Octagon Heptagon
  • 40. Multiple Choice Edit 1 minute 1 pt Which polygon has 7 sides? Pentagon Hexagon Heptagon Octagon
  • 41. Multiple Choice Edit 1 minute 1 pt Which polygon has 10 sides? Decagon Nonagon Octagon Heptagon
  • 42. Multiple Choice Edit 1 minute 1 pt Which polygon has 6 sides? Pentagon Hexagon Heptagon Octagon

What is the measure of angle x?

  • 49. Multiple Choice Edit 45 seconds 1 pt What is the formula for the sum of exterior angles in a polygon? 180(n−2) 180(n−2)÷n 360 360/n
  • 50. Multiple Choice Edit 45 seconds 1 pt What is the formula for the sum of interior angles in a polygon? 180(n−2) 180(n−2)÷n 360 360/n

Solve for x

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Geometry (all content)

Course: geometry (all content)   >   unit 3.

  • Sum of interior angles of a polygon
  • Sum of the exterior angles of a polygon

Angles of a polygon

  • Your answer should be
  • an integer, like 6 ‍  
  • a simplified proper fraction, like 3 / 5 ‍  
  • a simplified improper fraction, like 7 / 4 ‍  
  • a mixed number, like 1   3 / 4 ‍  
  • an exact decimal, like 0.75 ‍  
  • a multiple of pi, like 12   pi ‍   or 2 / 3   pi ‍  

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COMMENTS

  1. 7.1 Angles of Polygons + Flashcards

    Terms in this set (17) 3 sides, 1 triangle, and 180 degrees. 4 sides, 2 triangles, 360 degrees. 5 sides, 3 triangles, 540 degrees. 6 sides, 4 triangles, and 720 degrees. 8 sides, 6 triangles, and 1080 degrees. A closed figure formed by 3 or more line segments called sides. The sum of the measures of the inferior angles in any polygon can be ...

  2. Angle Measures of Polygons Assignment and Quiz Flashcards

    What is the sum of the interior angle measures of a regular decagon? What is the measure of each interior angle of a regular decagon? 1440. 144. Four interior angles of a pentagon measure 156°, 72°, 98°, and 87°. What is the measure of the final interior angle? 127°. Which polygon has an interior angle sum of 1260°? C.

  3. PDF Unit 7

    angles of a polygon is 5400', how many sides does it have? = 11. The measure of the seven angles in a nonagon measure 1380 1540 1450, 1320 1280 1470, and 1300. If the two remaining angles are equal in measure, what is the measure of each angle? + 132 128 + 14-1+ I go + X + X 1260 12. Find the value ofx. =

  4. Unit 7.1

    Unit 7.1 - Angles of Polygons quiz for 8th grade students. Find other quizzes for Mathematics and more on Quizizz for free! Unit 7.1 - Angles of Polygons quiz for 8th grade students. ... Show Answers. See Preview. 1. Multiple Choice. Edit. 45 seconds. 1 pt. What is the SUM of the angle measures in a nonagon (9 sides)?

  5. Interior & Exterior Angles in Polygons Practice Flashcards

    Interior & Exterior Formulas, Sums of Interior & Exterior angles. Learn with flashcards, games, and more — for free.

  6. PDF 6.1 ANGLES IN POLYGONS

    6.1. Angles in Polygons www.ck12.org Solution: From our investigation, we found that a quadrilateral has 360 . We can write an equation to solve for x. 89 +(5x 8) +(3x+4) +51 =360 8x =224 x =28 Exterior Angles in Convex Polygons Recall that an exterior angle is an angle on the outside of a polygon and is formed by extending a side of the polygon

  7. PDF Practice Masters Level A 3.6 Angles in Polygons

    In Exercises 1=3, find the indicated angle measures, x. 1. 2. 3. For each polygon, determine the measure of an interior angle and the measure of an exterior angle. 4.a regular octagon 5.a regular decagon For Exercises 6=7, an interior angle measure of a regular polygon is given. Find n, the number of sides of the polygon. 6.140° 7.156°

  8. Angles

    The angle game (part 2) (Opens a modal) Acute, right, & obtuse angles (Opens a modal) Unit test. Test your understanding of Angles with these NaN questions. Start test. Our mission is to provide a free, world-class education to anyone, anywhere. Khan Academy is a 501(c)(3) nonprofit organization. Donate or volunteer today! Site Navigation. About.

  9. Angles of a polygon (practice)

    Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

  10. PDF Name: Period GL U 9: P Q

    Angles in Polygons - Assignment Part 1 I. Fill in the chart for the regular polygons. II. Solve the following word problems. 1) If the sum of the interior angles is 1980°, what is the name of the polygon? ... Answer each of the following questions. 1. If a property is true in a square, what other figure(s) must it be true in? 2. If a ...

  11. PDF 7.1 Angles of Polygons

    Section 7.1 Angles of Polygons 367 Finding an Unknown Exterior Angle Measure Find the value of x in the diagram. SOLUTION Use the Polygon Exterior Angles Theorem to write and solve an equation. x° + 2x° + 89° + 67° = 360° Polygon Exterior Angles Theorem 3x + 156 = 360 Combine like terms. x = 68 Solve for x. The value of x is 68.

  12. Angles in Polygons Practice Questions

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  13. PDF Sum of Angles in Polygons Worksheet Answer Key

    Triangles Everywhere: Sum of Angles in Polygons Activity—Sum of Angles in Polygons Worksheet 1 Sum of Angles in Polygons Worksheet Answer Key Part 1: Drawing Polygon Shapes 1. Each group selects 6-8 different regular polygons (two per person). Each group member is responsible for accurately drawing two polygons on separate sheets of paper.

  14. Maths Genie

    Maths revision video and notes on the topic of Angles in Polygons.

  15. PDF Name: GCSE (1

    GCSE (1 - 9) Angles in Polygons Name: _____ Instructions • Use black ink or ball-point pen. • Answer all Questions. • Answer the Questions in the spaces provided - there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. • You must show all your working out. Information

  16. Angles in Polygons Textbook Answers

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  17. 5.1 Polygon Angles

    Section 5.1. Polygon Angles. G.3.1: Identify and describe characteristics of convex, concave, and regular polygons. G.3.4: Determine the sum of both the interior and exterior angle measures of a polygon.

  18. ANGLES AND POLYGONS

    Angles in Quadrilaterals Practice Grid ( Editable Word | PDF | Answers) Finding Interior and Exterior Angles in Regular Polygons Activity ( Editable Word | PDF | Answers) Angles in Regular Polygons Fill in the Blanks ( Editable Word | PDF | Answers) Angles in Regular Polygons Practice Strips ( Editable Word | PDF | Answers)

  19. Section 8.1 -8.2 Classifying Polygons and Finding Angles

    Find the sum of the measures of the interior angles of the convex polygon with 10 sides. 1620 degrees. Find the sum of the measures of the interior angles of a 11-gon. 46 degrees. The following are the exterior angle measures of a polygon. Find the value of x. 75, 44, 65, 54, 76, x. Angle 1. Name an interior angle.

  20. Polygon Interior Angle Discovery (Part 1 of 2)

    Polygon Interior Angle Discovery (Part 1 of 2) • Activity Builder by Desmos Classroom. Loading... Students will derive the formula for the sum of the interior angles of any polygon `\left (n-2\right)180`, and also begin explore regular polygons. This is "Part 1" of a set of activities. See Part 2 (Exterior Angles) Here: https://teacher.desmos ...

  21. PDF ANGLES IN POLYGONS SOLUTIONS

    1. [Edexcel, 2014] Angles in Polygons (Interior and Exterior) [4 Marks] 2. [Edexcel, 2007] Angles in Polygons (Interior and Exterior) [5 Marks] 3. [Edexcel, 2011] Angles in Polygons (Interior and Exterior) [4 Marks] ... correct answer is obtained, then You should normally (but not always) expect to be awarded all of the method marks (provided ...

  22. PDF Worksheet 1

    1. a) What is the sum of the exterior angles of a polygon? b) Use your answer for part (a) to work out the size of one exterior angle of: i) a regular dodecagon (a shape with 12 sides) ii) a regular hexagon iii) a regular heptagon (a shape with 7 sides), giving your answer correct to one decimal place. 2. Work out the size of each marked angle ...