Answer:
m<4 = 40°
Explanation:
m<6 = m<7, this is because of the Vertical Angles Theorem.
Solve for x by setting 11x+8 equal to 12x-4.
11x+8 = 12x-4
+4 +4
11x+12 = 12x
-11x -11x
12 = x
Now, substitute 12 (x) into one of the equations.
11(12) + 8 = 132 + 8 = 140
We're not done, but now we know that m<6 is 140°. Final step is to realize that m<4 is 40°, because it is supplementary (adding up to 180°) to m<6, which is 140°. This is because of the Converse of the Consecutive Interior Angles Theorem.