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Find the measure of each interior angle of a consecutive regular polygon of 5 sides

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130^{\circ}

179^{\circ}

156^{\circ}

108^{\circ}

answer is D.

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Detailed Solution

Given,
A regular polygon = 5 sides
We have found the measure of each interior angle
Now we know that
A regular polygon has each interior angle of sides ‘n’
=

\frac{180 (n - 2)^{\circ}}{n}

The sides n has a polygon =

n = 5

Thus, each interior angle

= \frac{180 (5 - 2)^{0}}{5}

= 108^{0}

Correct option is 4.

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