Question

In a regular polygon if the ratio of inner and outer angle is 3:2 then the inner angle of the polygon is

• A. 70${}^{\circ }$
• B. 36${}^{\circ }$
• C. 108${}^{\circ }$
• D. 100${}^{\circ }$

Answer 1

The correct option is C

108${}^{\circ }$

Given that the polygon is regular and the ratio of inner and outer angle = 3:2

In the regular polygon , the inner angle + outer angle = 180°

Let the inner angle = 3$x$ and outer angle = 2$x$

Hence, 3$x$ + 2$x$ = 180°

5$x$ = 180°

$x$ = 36°

Hence, the measure of the inner angle = 3(36)° = 108°