Question

What is the measure of angle 2 in this parallelogram?

(picture attached below)

A. 115 degrees
B. 50 degrees
C. 15 degrees
D. 2 degrees

thanks in advance! :)

Answer 1

We know, sum of all the angles in a parallelogram is 360,
so sum of non-variable angles = 360 - 2(115)
= 360 - 230 = 130

Now, measure of 1 variable angle = 130/2 = 65 [ As they are equal in magnitude]

Now, angle 2 + 50 = 65
angle 2 = 65 - 50 = 15

In short, Your Answer would be Option C

Hope this helps!