Question

Solve for x.
I was sure the answer was 2?
Please show me the breakdown. THX

Answer 1

x = 8 and y = 10

Explanation:

Since the figures are congruent:

Angle PQR = EFG

6y + x = 68

Segment QR = FG

2x - 4 = 12

Solving that:

2x - 4 = 12

2x = 16

x = 8

Replacing x in 6y + x =68

6y + 8 = 68

6y = 60

y = 10