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Question

Describe and correct the error in finding the measure of one exterior angle of a regular pentagon. (n - 2) · 180° = (5 - 2) · 180° = 3 · 180° = 540°. The sum of the measures of the angles is 540°. There are five angles, so the measure of one exterior angle is 540°/5 = 108°.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2The sum of exterior angles is $360\text{\textdegree}$, therefore to get one exterior angle we just divide this sum, by the total number of vertices. In this case we divide by five: $\dfrac{360\text{\textdegree}}{5}=72\text{\textdegree}$.

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