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If each interior angle of a regular polygon is 144 degrees. Find the number of sides in it.

2 Answers

7 votes

Answer:

10 sides

Explanation:

A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° and they all add up to 1,440°.

User Ezpresso
by
5.7k points
1 vote

Answer:

10

Explanation:

In a polygon

interior angle + interior angle = 180°, thus

exterior angle = 180° - 144° = 36°

The sum of the exterior angles in a polygon = 360°, thus

number of sides =
(360)/(36) = 10

User Vinibrsl
by
5.4k points