Answer:
m∠z = 135°
Step-by-step explanation:
The given figure is a regular octagon. It has 8 sides which are equal in measure. Since it is a regular octagon each interior angle is also in the same measure.
We have formula to find the sum of the interior angles of a polygon.
The sum of the interior angles of a polygon = (n -2)180°, where "n" is the number of sides.
Here n = 8
Now plug in n = 8 and find the sum of the interior angles.
= (8 -2)180
= 6*180
The sum of the interior angles of the regular Octagon = 1080°
Therefore, m∠z = [tex]\frac{1080}{8}[/tex] = 135°
