Question

Find the measure of each internal angle if the ratio of the measure of an internal angle to that of an external angle of a polygon is 13:2.

• A. 140⁰
• B. 84⁰
• C. 105⁰
• D. 112⁰
• E. 156⁰

Answer 1

The correct option is E

156⁰

Measure of interior angle of a n sided regular polygon = $\frac{(n-2){180}^0}{n}$ Measure of exterior angle of a n sided regular polygon = $\frac{2{\times 180}^0}{n}$ Solving we get n = 15 $\therefore$Measure of the internal angle = 156${}^0$