Question

Please help thank you!

Answer 1

This is a regular octagon since it has 8 sides.

The measure of one of the interior angles will be
`((n-2)180)/(n)` degrees, where n is the number of sides.


`(8-2)(180)/8=135`

The length of one interior angle is 135 degrees.

Divide that by 2 to get the length of angle 2.


`135/2=67.5`

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.


`180-67.5-67.5=45`

That's the measure of angle 1.

The answer is answer choice two. Hope this helps!