Math, asked by inshu8618, 1 year ago

pls ans this fast....... ​

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Answered by sonampatel2
1

Answer:

the no of sides is 24 for this regular polygon.

Step-by-step explanation:

Here is an easy way to solve the problem:

1) The interior and the exterior angles

make a linear pair: add up to make 180°.

180° - 165° = 15° measure of one ext. angle

2) the sum of the exterior angles of any convex polygon is 360°

360° ÷ 15° = 24 exterior angles

3) the number of exterior angles = the number of interior angles = the number of sides in any convex polygon

4) Therefor there are 24 sides in this regular polygon

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