Question

YW bisects <XYZ. m<XYW=(2x+7) and m<XYZ= (6x-8). find the value of the X and the measure of <XYZ

Answer 1

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