Vertical and supplementary angles
Finding x
If two lines are crossed the opposite angles of the sections formed are equal:
Then, in this case:
6x + 33 = 93
Now, we solve the equation for x:
6x + 33 = 93
↓ substracting 33 on both sides
6x = 93 - 33
6x = 60
↓ dividing by 6 on both sides
6x/6 = 60/6
x = 10
Finding z
If two angles, side by side, form a straight line, this means that they form together a 180º angle:
Then, in this case:
93 + z = 180
Now, we solve the equation for z:
93 + z = 180
↓ substracting 93 on both sides
z = 180 - 93
z = 87
Answer: x = 10 and z = 87