given that interior angle of a regular polygon is five times of its exterior angle, calculate the size of interior angle of the polygon

Question

Mathematics

Alijah Copeland

24 September, 07:53

given that interior angle of a regular polygon is five times of its exterior angle, calculate the size of interior angle of the polygon

+2

Answers (1)

Know the Answer?

Heaven Greene · Answer 1

Step-by-step explanation:

Let the exterior angle = x

Interior angle = 5x

x + 5x = 180 { interior angle and exterior angle are linear pair}

6x = 180

x = 180/6

x = 30

Interior angle = 5*30 = 150