The angle measure of a triangle are shown in the diagram.

What is the value of z?
Responses

A 2020

B 2525

C 4040

D 15

To find the value of z, we need to subtract the sum of angles x and y from 180 degrees (since the sum of the angles in a triangle is always 180 degrees).

z = 180 - (x + y)

From the diagram, we can see that x = 120 degrees and y = 45 degrees.

Therefore, z = 180 - (120 + 45) = 180 - 165 = 15 degrees.

So, the value of z is 15.

The correct answer is option D) 15.