Answer:
The angle 6 measures 54 degrees
Step-by-step explanation:
Angle 6 is congruent to angle 7 ("-2x+34") as it is an opposite angle in straight line intersection. But angle 6 is congruent to angle 2 (-9x-36) due to the two horizontal lines being parallel. So we can write the following equality to determine the value of x:
-2x + 34 = -9x -36
7x = -70
==> x = -10
Now we can answer the question: the angle 6 is
-2x + 34 = -2(-10)+34 = 54 degrees
