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Geometry Theorems: Angle Sums in Polygons

Learn about angle measurements in polygons, including the theorem for regular polygons and solving for unknown angles. Practice assignments included.

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Geometry Theorems: Angle Sums in Polygons

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  1. Week 4 Warm Up 04.11.12

  2. 3 sides 4 sides 5 sides 6 sides Ex 1 1• 180⁰ 360⁰ 540⁰ 720⁰ 2 • 180 3 • 180 4 • 180

  3. Theorem 10.15 6 1 ( 6 – 2 ) • 180⁰ Ex 2 4 • 180⁰ 2 5 720⁰ 4 3 136⁰ + 136⁰ + 88⁰ + 142⁰ + 105⁰ + x⁰ = 720⁰ 607 + x = 720 x = 113

  4. Theorem 10.15A The measure of each angle of a regular polygon is 140. Ex 3 How many sides? 9 sides

  5. Ex 4 Find the value of x for the regular polygon: x

  6. What is the value of x? Do 1: Assignment: Textbook Page 665, 14 – 19 all.

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