Section 6-1 Angles of Polygons

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Presentation transcript:

Section 6-1 Angles of Polygons

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

Common Core State Standards Content 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. Common Core State Standards

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

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

Remember!

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

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

The measure of an interior angle of a regular polygon is 144 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 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 The measure of an interior angle of a regular polygon is given. Find the number of sides in the polygon. 90 108 160 165 Example 2

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