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Regular pentagon ABCDE and regular hexagon AEFGHI are drawn on opposite sides of line segment AE such that they are coplanar. What is the degree measure of exterior angle DEF?
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Regular pentagon ABCDE and regular hexagon AEFGHI are drawn on opposite sides of line segment AE such that they are coplanar. What is the degree measure of exterior angle DEF?

Regular pentagon ABCDE and regular hexagon AEFGHI are drawn on opposite sides of line-example-1
User Christopher Stott
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1 Answer

10 votes

Answer:

144 degrees

Explanation:

The exterior angle of a pentagon is 72 degrees(interior angle is 108) add 90 if you want the full angle, so DEF is 144 degrees because 72*2.

image explanation(way better):

Regular pentagon ABCDE and regular hexagon AEFGHI are drawn on opposite sides of line-example-1
User Alan Wells
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