srinathparvathi srinathparvathi
  • 11-09-2020
  • Mathematics
contestada

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

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jimrgrant1 jimrgrant1
  • 11-09-2020

Answer:

10

Step-by-step 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 = [tex]\frac{360}{36}[/tex] = 10

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joudi7
joudi7 joudi7
  • 11-09-2020

Answer:

10 sides

Step-by-step 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°.

Answer Link

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