Question

Find the measure of each angle of a regular pentagon. 36° 108° 144° 72°

Answer 1

Answer:

The Correct Option is Second one 108°.

Hence, the measure of each internal angle of a regular Pentagon is 108°.

Step-by-step explanation:

Given:

A Regular Pentagon.

Accordingly, for a Pentagon, the total of the internal angles is given by,

$\textrm{Total Measure Internal Angles}=(5-2)\times 180\° = 3\times 180\°= 540\°$

In case of a regular Pentagon, all internal angles are equal.

Hence, divide the total above by 5.

$\textrm{Measure of each angle of regular Pentagon}=\dfrac{540}{5}=108\°$

Hence, the measure of each internal angle of a regular Pentagon is 108°.