I just helped someone else with this same question. Here's what I said:
Ok, here we go!
Same side interior angles have a sum of 180 degrees, so:
y + 36 = 180y = 144
ABE and BCD are corresponding angles which means they are equal.
ABE = 36
We now know two angles of a triangle, which is all we need to find the third side. The sum of the angles of a triangle equals 180 degrees, so:
AEB + 92 + 36 = 180
AEB = 52
Angle AEB and x are vertical angles, which makes them equal.
x = 52
The question asks for the sum of x and y, so:52 + 144 = 196
The correct answer is 196.
Wow! We did it! If you take your time and think it through, geometry can be easy and fun!
Hope this helps =)
