Geometry 7.1 Interior and Exterior Angles · Geometry 8 1 Find Angle Measures in Polygons Polygon...

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Geometry 7.1 Interior and Exterior Angles

Transcript of Geometry 7.1 Interior and Exterior Angles · Geometry 8 1 Find Angle Measures in Polygons Polygon...

Page 1: Geometry 7.1 Interior and Exterior Angles · Geometry 8 1 Find Angle Measures in Polygons Polygon Interior Angles Theorem The sum of the measures of the interior angles of a convex

Geometry7.1 Interior and Exterior Angles

Page 2: Geometry 7.1 Interior and Exterior Angles · Geometry 8 1 Find Angle Measures in Polygons Polygon Interior Angles Theorem The sum of the measures of the interior angles of a convex
Page 3: Geometry 7.1 Interior and Exterior Angles · Geometry 8 1 Find Angle Measures in Polygons Polygon Interior Angles Theorem The sum of the measures of the interior angles of a convex
Page 4: Geometry 7.1 Interior and Exterior Angles · Geometry 8 1 Find Angle Measures in Polygons Polygon Interior Angles Theorem The sum of the measures of the interior angles of a convex
Page 5: Geometry 7.1 Interior and Exterior Angles · Geometry 8 1 Find Angle Measures in Polygons Polygon Interior Angles Theorem The sum of the measures of the interior angles of a convex

2. Determine the unknown angle measures in a hexagon whose six angles measure 69, 108, 135, 204, b, and 2b

Page 6: Geometry 7.1 Interior and Exterior Angles · Geometry 8 1 Find Angle Measures in Polygons Polygon Interior Angles Theorem The sum of the measures of the interior angles of a convex

get a piece of scratch paper out and draw a large triangle. Then cut it out.

place on a piece of paper and extend one side to form an exterior angle and label as shown:

Page 7: Geometry 7.1 Interior and Exterior Angles · Geometry 8 1 Find Angle Measures in Polygons Polygon Interior Angles Theorem The sum of the measures of the interior angles of a convex

Now tear off the corners that are not next to the exterior angle. Use them to fill the exterior angle as shown:

After completion, what do you notice about the measure of the exterior angle and the measures of the 2 interior angles of the triangles you tore off?

Page 8: Geometry 7.1 Interior and Exterior Angles · Geometry 8 1 Find Angle Measures in Polygons Polygon Interior Angles Theorem The sum of the measures of the interior angles of a convex
Page 9: Geometry 7.1 Interior and Exterior Angles · Geometry 8 1 Find Angle Measures in Polygons Polygon Interior Angles Theorem The sum of the measures of the interior angles of a convex
Page 10: Geometry 7.1 Interior and Exterior Angles · Geometry 8 1 Find Angle Measures in Polygons Polygon Interior Angles Theorem The sum of the measures of the interior angles of a convex

pg 277; 1,3-9, 11-21,25ec: 10, 22

Page 11: Geometry 7.1 Interior and Exterior Angles · Geometry 8 1 Find Angle Measures in Polygons Polygon Interior Angles Theorem The sum of the measures of the interior angles of a convex

7.1 Handout

2. Determine the unknown angle measures in a hexagon whose six angles measure 69, 108, 135, 204, b, and 2b

Page 12: Geometry 7.1 Interior and Exterior Angles · Geometry 8 1 Find Angle Measures in Polygons Polygon Interior Angles Theorem The sum of the measures of the interior angles of a convex