Question

If the ratio between the interior and exterior angles of a regular polygon is 14 : 1, then the measure of each exterior angle is ___.

• A. ${11}^{\circ }$
• B. ${12}^{\circ }$
• C. ${15}^{\circ }$
• D. ${24}^{\circ }$

Answer 1

The correct option is B

${12}^{\circ }$

Let the interior angle (i) = 14x and the exterior angle (e) = x

We know, $i^{\circ }+e^{\circ }={180}^{\circ }$

14x + x = 180

15x = 180

x = ${12}^{\circ }$

$\therefore$ the measure of each exterior angle is ${12}^{\circ }$

Ans: (B)