Answer:
x = 19
z = 76
Step-by-step explanation:
The angle that is indicated with (8x - 28) is equal to the angle indicated with (6x + 8):
8x - 28 = 6x + 8 transfer like terms to the same side of the equation
8x - 6x = 8 + 28 add/subtract terms
2x = 36 divide both sides by 2
x = 19
The angle indicated with (6x + 8) and the angle indicated with z are supplementary angles:
6x + 8 + z = 180 replace x with the value we found
6*19 + 8 + z = 180 calculate
104 + z = 180 subtract 104 from both sides
z = 76
