MARKING BRAINLIEST
Find the angle measure

Each angle = 117

Step-by-step explanation:

Parallel lines cut by a transversal have only 2 possible answers for each angle. The two answers are supplementary to each other. These two angles are obtuse (both of them) so they are equal.

42x - 9 = 35x + 12         Add 9 to both sides

42x = 35x + 12 + 9        Combine

42x = 35x + 21              Subtract 35x from both sides

42x - 35x = 21               Combine

7x = 21                           Divide by 7

x = 21/7

x = 3

That's not the answer

42x - 9

42*3 - 9

126 - 9

117

Two angles are complementary angles if they have a sum of 90 degrees. We could write the expression as below.
angle 1 + angle 2 = 90
7x + 2 + 3x - 2 = 90

solve for x by adding like terms
7x + 3x + 2 - 2 = 90
10x = 90
x = 90/10
x = 9

The value of x is 9