Question

how many sides does a regular polygon have , if each of its interior angles is 165°?​

Answer 1

Answer:

24

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Answer 2

Answer:

Given

The measure of interior angle = 165°

Find out

We have to find the number of sides of a polygon

Formula

(no. of sides) x (measure of exterior angle) = 360°

Solution

The measure of exterior angle = 180° – 165° = 15°

(no. of sides) x (measure of exterior angle) = 360°

⇒ no. of sides = 360°/15° = 24

Answer

Thus, the regular polygon has 24 sides