9514 1404 393
Answer:
m∠c = 52°
Explanation:
Corresponding angles are congruent:
13x +11° = 15x -7° . . . . . the corresponding angles have equal measures
18° = 2x . . . . . . . . . . . . add 7° -13x to both sides
9° = x . . . . . . . . . . divide by 2
Now, we can find c. It is supplementary to the corresponding angles.
c = 180° -(15x -7°) = 180° -15(9°) +7° . . . . . substitute for x
m∠c = 52°