The interior angle of a regular polygon exceeds its exterior angle by 90º. The number of sides of the polygon is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 8
Let the exterior angle be x.
Interior angle = x + 90.
x + x + 90 = 180
2x = 90
x = 45°
The number of sides of a regular polygon = 360/45 = 8.