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Fine the measure of the angle formed by the radius and the side of a regular dodecagon.

A.15
B.30
C.60
D.75

User Adrin
by
8.0k points

1 Answer

4 votes

Answer:

Option D.75°

Explanation:

we know that

The sum of the interior angles of a regular dodecagon is equal to


S=(n-2)*180

where

n is the number of sides

In this problem

n=12 sides

substitute


S=(12-2)*180


S=1,800\°

Find the measure of each interior angle

Divide the sum of the interior angles by the number of sides


1,800\°/12=150\°

The measure of the angle formed by the radius and the side of a regular dodecagon is half the measure of the interior angle

therefore


150\°/2=75\°

User Peter Kirchner
by
8.4k points

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