Question

What is m∠BEC ? Enter your answer in the box.

Answer 1

We are able to set 4x+32 equal to 6x-8 because these are congruent vertical angles

4x+32=6x-8
4x+40=6x (add 8 to both sides)
40=2x (subtract 4x from both sides)
X=20 (divide both sides by 2)

Then we plug in 20 for x into 6x-8 to find the answer

6(20)-8
=120-8
=112

Hope this helps!

Answer 2

Angle BEC = angle AED

Vertically opposite angles are equal

6x - 8 = 4x + 32
6x - 4x = 32 + 8
2x = 40
x = 20

angle BEC = 6 x 20 - 8 = 112°