Math, asked by Rathan77, 8 months ago

10. In a regular polygon, each interior angle is thrice the exterior angle. The number of sides of a polygon.

Answers

Answered by adityachoudhary2956

36

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Let the Exterior angle be a

Interior angle = 3a

We know that,

Exterior angle + Interior angle = 180

=> a + 3a = 180

=> 4a = 180

=> a = 45°

Interior angle = 3 × 45 = 135°

Exterior angle = 45°

Now,

n × Each Exterior angle = 360

=> n × 45 = 360

=> n = 8

Number of sides = 8.

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