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Can someone help me please​

Can someone help me please​-example-1

1 Answer

6 votes

Answer:

a) interior angle: 156°

b) exterior angle: 24°

Explanation:

b)

The sum of the exterior angles of a convex polygon is 360°. Then the exterior angle of a regular 15-gon will be ...

360°/15 = 24°

__

a)

The interior angle of a convex polygon is the supplement of the exterior angle at that vertex. For an exterior angle of 24°, a regular 15-gon will have an interior angle of ...

180° -24° = 156°

_____

Additional comment

We find it easier to work this problem by finding the exterior angle first. Note that the results only apply to a 15-gon in which all interior angles are congruent.

User Kwolfe
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