Date: 8.1(b) Notes: Polygon Exterior Angles Sum Lesson Objective: Find and use the sum of the measures of the exterior angles of a polygon. CCSS: G.MG.1.

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Presentation transcript:

Date: 8.1(b) Notes: Polygon Exterior Angles Sum Lesson Objective: Find and use the sum of the measures of the exterior angles of a polygon. CCSS: G.MG.1

Lesson 1: Polygon Exterior Angles Sum What is the measure of an exterior angle of a regular hexagon? ____ What would the sum of the exterior angles be? ____________ Exterior Angle

Lesson 1: Polygon Exterior Angles Sum Construct an equilateral triangle using your compass.

Lesson 1: Polygon Exterior Angles Sum

Lesson 1: Polygon Exterior Angles Sum Sketch the following trapezoid. Label as shown. 100° 120° 80° 60°

Lesson 1: Polygon Exterior Angles Sum What is the measure of the exterior angles of each polygon? Find the sum of the exterior angles of each polygon. 100° 120° 80° 60°

Lesson 1: Polygon Exterior Angles Sum What is the “formula” for the sum of exterior angles? 100° 120° 80° 60°

Lesson 1: Polygon Exterior Angles Sum 100° 120° 80° 60° Polygon Exterior Angle Sum Theorem: The sum of the exterior angle measures, one angle at each vertex, of a convex polygon is 360°.

Lesson 2: Finding Exterior Angle Measures A.Find the measure of each exterior angle of a regular 20-gon. B.Find the value of b in polygon FGHJKL.

Lesson 3: Finding the Number of Sides A.The measure of an exterior angle of a regular polygon is 24°. Find the number of sides in the polygon. B.The measure of an interior angle of a regular polygon is 144°. Find the number of sides in the polygon.

8.1(a): Do I Get It? 1.Name the polygon by the number of sides. Tell whether it is regular or irre- gular and whether it is concave or convex. 2.Find the sum of the interior angle measure of a convex 11-gon. 3.Find the measure of each interior angle measure of a regular 11-gon.

8.1(b): Do I Get It? 1.The measure of an interior angle of a regular polygon is 135°. Find the number of sides in the polygon. 2.The measure of an exterior angle of a regular polygon is 14.4°. Find the number of sides in the polygon. 3.Find the value of x. 4.Find the sum of the interior angles for figure to the right.