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Each interior angle of a polygon is 108°. Find the number of sides of the polygon.

Solution:

Given, each interior angle of a polygon is 108°

We have to find the number of sides of the polygon.

Interior angle = 180° - exterior angle

Given, interior angle = 108°

So, 108° = 180° - exterior angle

Exterior angle = 180° - 108°

= 72°

Number of sides of a polygon = 360°/exterior angle

= 360°/72°

= 5

Therefore, the number of sides of a polygon is 5.

✦ Try This: Each interior angle of a polygon is 118°. Find the number of sides of the polygon.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 5 Solved Problem 33

Summary:

Each interior angle of a polygon is 108°. The number of sides of the polygon is 5.

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