Question

Each interior angle of a polygon is 108°.How many sides does it have?
Needs full explanation.​

Answer 1

Answer:

5 sides

Step-by-step explanation:

Formula to find 1 interior angle of a polygon = ((n-2) x 180)÷n (n is number of sides)

Based on this question, if ((n-2) x 180)÷n is equal to 108,

108n = 180 x (n-2)

108n = 180n -360

108n - 180n = -360

-72n = -360

n = -360 ÷ -72

n = 5

Answer 2

Step-by-step explanation:

5 sided

An interior angle of a regular polygon has a measure of 108°. It is a 5 sided polygon known as pentagon.

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