Question

If the ratio of measure of interior angle to that of exterior angle of a regular polygon 7:2, the measure of interior angle is -

• A. 40°
• B. 60°
• C. 80°
• D. 140°

Answer 1

The correct option is D

140°

$\frac{(n-2)}{2}$= $\frac{7}{2}$ n = 9 Measure of interior angle of an `n' sided regular polygon = $\frac{(n-2){180}^0}{n}$ = 140${}^0$