Question

5. Find the number of sides of a regular polygon if each of its interior angle is
165°
​

Answer 1

Answer:

Interior angle = 165

Exterior angle = 180 - 165 = 15

The sum of exterior angles of any polygon is 360

Number of sides = 360/15 = 24

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Answer 2

Answer:

24

Step-by-step explanation:

We know that the interior angle and exterior angle are supplementary.

So, 165°+ext.angle=180°.

Exterior angle = 15°

To find the number of sides, the formula is,

No. of sides = 360/ext.angle.

No. of sides = 360/15 = 24.

So the number of sides are 24.

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