Section 6 1 Angles of Polygons Objectives Then

Section 6 -1 Angles of Polygons

Objectives Then Now You named and classified polygons. Find and use the sum of the measures of the interior angles of a polygon.

Content Standards Common Core State Standards G. MG. 1 – Use geometric shapes, their measures, and their properties to describe objects. Mathematical Practices 3) Construct viable arguments and critique the reasoning of others. 4) Model with mathematics.

Diagonal: a segment that connects any two nonconsecutive vertices of a polygon. Vocabulary

Polygon Number of Sides Triangles 3 4 5 1 Sum of Interior Angle Measures 180

Remember!

Find the sum of the measures of the interior angles of each convex polygon. a) Decagon Example 1 b) Heptagon c) 36 -gon

Find the sum of the measures of the interior angles of each convex polygon. a) Hendecagon Example 1 b) Nonagon c) 44 -gon

The measure of an interior angle of a regular polygon is 144. Find the number of sides in the polygon. Example 2

The measure of an interior angle of a regular polygon is 156. Find the number of sides in the polygon. Example 2

The measure of an interior angle of a regular polygon is given. Find the number of sides in the polygon. a) 90 Example 2 b) 108 c) 160 d) 165

Homework p. 397 #1, 2, 6, 7, 12 – 15, 26 - 29