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