Answer:
x = 2
z = 118
Step-by-step explanation:
The angle with a measure of 118° and the angle labeled "x" are vertical angles
As we know, vertical angles are congruent
Thus, because x's vertical angle equals 118° x also equals 118°
The angle with a measure of 118° and the angle labeled by the expression ( 12x + 38 ) are supplementary angles
Supplementary angles add up to equal 180
Thus, 12x + 38 + 118 = 180
^Note that this is the equation we will use to solve for x
12x + 38 + 118 = 180
step 1 combine like terms
118 + 38 = 156
we now have 12x + 156 = 180
step 2 subtract 156 from each side
156 - 156 cancels out
180 - 156 = 24
we now have 24 = 12x
step 3 divide each side by 12
12x / 12 = x
24 / 12 = 2
we're left with x = 2
