Get the solution to "What is the measure of one interior angle..."

mpifanahhf

Answered question

2023-02-14

What is the measure of one interior angle in a pentagon?

Karina Weeks

Beginner2023-02-15Added 6 answers

Sum of interior angles in a polygon is calculated as follows:

180^{\circ} (n - 2)

where:
n= number of sides of the polygon
In order to determine the size of one interior angle, first replace n with 5:

180^{\circ} (n - 2)

= 180^{\circ} (5 - 2)

= 180^{\circ} (3)

= 540^{\circ}

Since a pentagon has 5 interior angles, divide the sum of interior angles (

540^{\circ}

) by 5:

540^{\circ} \div 5

= 108^{\circ}

, the measure of one interior angle is

108^{\circ}

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