Question

What is m2?

Answer 1

22.5

Answer 2

m2=(180-45)/2 = 135/2 =67,5 degree

Answer 3

Assuming that the polygon is a regular octagon, the measure of one central angle is 360/8 =45.
That is the measure of angle 1.
The segments drawn from the center of the polygon to its vertices are congruent.
Look at the triangle containing angle 2.
That triangle is an isosceles triangle.
An altitude drawn to the base of an isosceles triangle bisects the base as well as the vertex angle of the isosceles triangle. (1/2) of 45 = 22.5 degrees.
Angle 2 is an angle in a triangle with acute angle 22.5 degrees and another angle of 90 degrees.
The measure of Angle 2 = 180 - 90 - 22.5 = 67.5 degrees. --> Answer