Question

The ratio of the measure of an angle of a regular octagon to the measure of its exterior angle is

• A. 1 : 2
• B. 3 : 1
• C. 2 : 3
• D. 3 : 4

Answer 1

The correct option is B 3 : 1

Each exterior angle of a regular octagon $=\frac{360}{8}={45}^o$
Each interior angle of a regular octagon $=({180}^o-{45}^o)$
$={135}^o$
$\therefore$ Required ratio $=\frac{135}{45}=3:1$