Question

19. Find the measure of each interior angle of a regular polygon having 5 sides.​

Answer 1

Question

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

Given

• Regular polygon have 5 side

Find

• Measure of each interior angle .

Formula

• Measurement of each interior angle of regular polygon = $\bf \dfrac{( n - 2 ) × 180°}{n}$
• Where n = sides

Calculation

• Polygon have 5 side

So,

Each interior angle = $\sf \dfrac{(n-2)×180}{n}$

Each interior angle = $\sf \dfrac{(5-2)×180}{5}$

Each interior angle = $\sf \dfrac{(3)×180}{5}$

Each interior angle = $\sf \dfrac{\cancel{540}}{\cancel{5}}$

Each interior angle = $\sf 108°$

Hence

• The each interior angle of regular polygon is 108°

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Additional information

• A regular polygon is a flat shape whose sides are all equal and whose angles are all equal.