Question

A regular polygon has 25 sides. If one of its angles measures (6h − 15)°, what is the value of h?

h = 6.7
h = 16.7
h = 30.1
h = 33.8

Answer 1

H=30.1 the answer is option C

Answer 2

h = 30.1

Explanation:

(25-2)*180 = 4140

formula for the sum of interior angles is (no of sides - 2) * 180

4140/25 = 165.6

finding the angle of one interior angle and since it is a regular polygon, all angles are same, and with 25 angles we can divide total sum by 25
... and now standard algebra :-

6h - 15 = 165.6

6h = 180.6

h =180.6/6 = 30.1