This is a regular octagon since it has 8 sides.
The measure of one of the interior angles will be

degrees, where n is the number of sides.

The length of one interior angle is 135 degrees.
Divide that by 2 to get the length of angle 2.

The only answer choice that has this value is answer choice 2.
I'll still show how to solve angle 1.
All interior angles of a triangle add to 180.
We have an isosceles triangle with base angles that have measures of 67.5 degrees.

That's the measure of angle 1.
The answer is answer choice two. Hope this helps!