Question

In a regular polygon, the ratio of the inner and outer angle is 11 : 7. What is the measure of the interior angle?

• A. ${120}^{\circ }$
• B. ${110}^{\circ }$
• C. ${70}^{\circ }$
• D. ${100}^{\circ }$

Answer 1

The correct option is B

${110}^{\circ }$

Given : The ratio of interior angle to exterior angle = 11 : 7

We know, Sum of interior and exterior angle = ${180}^{\circ }$

So, 11x + 7x = 180

$\Rightarrow$ 18x = 180

$\Rightarrow$ x = 10

$\therefore$ Interior angle = 11x = ${110}^{\circ }$