Question

Find the value of x, y, and z

Answer 1

Answer:

  (x, y, z) = (7, 9, 90)

Step-by-step explanation:

The two acute angles between l1 and l2 are vertical, so congruent.

  (9x -7) = 8x

  x = 7 . . . . . . . . . add 7-8x

These are supplementary to the obtuse angle between those lines:

  8(7) + (13y +7) = 180

  13y = 117 . . . . subtract 63

  y = 9 . . . . . . . divide by 13

The angle marked z is supplementary to the angle marked as a right angle.

  z + 90 = 180

  z = 90