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Warm up the ol ’ thinker

Warm up the ol ’ thinker. Get out your homework!. Solve for x:. HOMEWORK QUESTIONS?. Pg 300 1-15. Ex. 1 Use the regular pentagon to answer the questions. Find the sum of the measures of the interior angles. Find the measure of ONE interior angle. 540 °. 108 °.

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Warm up the ol ’ thinker

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  1. Warm up the ol’ thinker Get out your homework! Solve for x:

  2. HOMEWORK QUESTIONS? • Pg 300 1-15

  3. Ex. 1 Use the regular pentagon to answer the questions. • Find the sum of the measures of the interior angles. • Find the measure of ONE interior angle 540° 108°

  4. Ex. 2 Use a regular 15-gon to answer the questions. • Find the sum of the measures of the interior angles. • Find the measure of ONE interior angle 2340° 156°

  5. Find the measures of one interior angle of the indicated polygon. • Regular triangle • Regular heptagon • Regular dodecagon

  6. What about the outside? Finding and using the exterior angle measures of polygons

  7. 2 1 3 5 4 In any convex polygon, the sum of the measures of the exterior angles, one at each vertex, is 360°.

  8. In any convex polygon, the sum of the measures of the exterior angles, one at each vertex, is 360°. 1 3 2

  9. In any convex polygon, the sum of the measures of the exterior angles, one at each vertex, is 360°. 1 2 4 3

  10. Ex. 1 Find the measure of ONE exterior angle of a regular hexagon. 60°

  11. Ex. 2 Find the measure of ONE exterior angle of a regular heptagon. 51.4°

  12. Ex. 3 Each exterior angle of a polygon is 18. How many sides does it have? n = 20

  13. Find the measures of an interior angle and exterior angle of the indicated polygon. • Regular triangle • Regular 20-gon • Regular nonagon • Regular heptagon • Regular dodecagon • Regular 17-gon

  14. How many sides does the polygon have? • Each interior angle has a measure of 140º • Each interior angle has a measure of 175.2º • Each exterior angle has a measure of 45º • Each exterior angle has a measure of 3º

  15. Ex: 3 The measure of each interior angle is 150°, how many sides does the regular polygon have? One interior angle A regular dodecagon

  16. Find the value of x: 142o 140o 105o 124o 88o xo

  17. Find the value of x: 64o 2xo 3xo 86o 110o

  18. Find the value of x: 60o 8xo 100o 6xo 20o 6xo

  19. The measures of the interior angles of a convex octagon are 45x, 40x, 155, 120, 155, 38x, 158, 41x. What is the measure of the smallest interior angle?

  20. Homework: Pg 301 # 26 - 35

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