This is a regular octagon since it has 8 sides.
The measure of one of the interior angles will be [tex]\dfrac{(n-2)180}{n}[/tex] degrees, where n is the number of sides.
[tex](8-2)(180)/8=135[/tex]
The length of one interior angle is 135 degrees.
Divide that by 2 to get the length of angle 2.
[tex]135/2=67.5[/tex]
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.
[tex]180-67.5-67.5=45[/tex]
That's the measure of angle 1.
The answer is answer choice two. Hope this helps!
