Answer:
x = 8
z = 74
Step-by-step explanation:
opposite angles are equal
10x + 26 = 8x + 42
combine similar terms:
10x - 8x = 42 - 26
simplify:
2x = 16
x = 16/2
x = 8
solve for z:
360 = 10x + 26 + 8x + 42 + z + z
360 = 10(8) + 26 + 8(8) + 42 + 2z
360 - 80 - 26 - 64 - 42 = 2z
148 = 2z
z = 148/2
z = 74
