Respuesta :

Answer:

Because a is the measure of the interior angle of a regular octagon.

Step-by-step explanation:

Given figure is of a regular octagon.

Measure of one interior angle of regular octagon is given as:

[tex]a = \frac{(n - 2) \times 180 \degree}{n} \\ \\ = \frac{(8 - 2) \times 180 \degree}{8} \\ \\ = \frac{6 \times180 \degree }{8} \\ \\ = \frac{1080 \degree}{8} \\ \\ \huge \red{ \boxed{a= 135 \degree}}[/tex]