Question

I need help to show the work for number 11. I know the answer is option number 3.

Answer 1

The given exterior angle and angle Y are supplementary angles and need to equal 180 degrees.

To find Y subtract the outside angle from 180:

Y = 180 - 124 = 56 degrees.

Now the 4 inside angles of the figure need to equal 360 degrees.

To find X  Subtract the 3 known angles from 360:

X = 360 - 56 - 65 - 125 = 114 degrees.

The answer is C.