Question

What is the measure of x in the regular octagon below in degrees

Answer 1

Answer: x = 135 degrees

Explanation:

Total interior angles: 1080 degrees

Thus 1 interior angle (x) = 1080 / 8 = 135 degrees

Hope this helps!

Answer 2

135°

Explanation:

You want the measure of one internal angle of a regular octagon.

Internal angles

Each internal angle is the supplement of the adjacent external angle.

The sum of external angles is 360°. For a regular polygon, all angles of the same type have the same measure. That means the external angles are ...

360°/8 = 45°

and the internal angles are ...

x = 180° -45° = 135°