See Image first.
Finding X
2. 2(2x+7) = 6x-8
3. 4x + 14 = 6x -8
4. 22 = 2x
5. x = 11
Finding m<XYW
2x + 7
2 ( 11) +7
29 degrees
Finding m<XYZ
2(2x+7)
4x + 14
4 * 11 + 14
58 degrees
CHECK:
6x -8
6 (11) - 8
58 degrees (CHECK!)
ANSWER: x= 11
m<XYZ = 58 degrees