Module 15: Lesson 1 Interior & Exterior Angles

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Presentation transcript:

Module 15: Lesson 1 Interior & Exterior Angles An interior angle of a polygon is one formed by the sides of a polygon with a common vertex. An exterior angle of a polygon is one formed by one side of the polygon and the extension of an adjacent side. The Triangle Sum Theorem The sum of the measures of the 3 interior angles of a triangle = 180°.

180°(n - 2) (where n is the number of sides of the polygon) The Polygon Angle Sum Theorem The sum of the measures of the interior angles of any polygon is 180°(n - 2) (where n is the number of sides of the polygon) See example 1 on page 727. A regular polygon is a polygon that has all sides of the polygon with the same length and all interior angles with the same measure.

2 1 3 4 The Exterior Angle Theorem The measure of an exterior angle of a triangle is equal to the sum of the measures of the 2 remote interior angles.

2 1 3 4 1) Find the measures of the other 3 angles if 2) Find the measures of the other 3 angles if

Homework pages 732-737 #’s 1-26 (all)