Question

A) 78°
C) 101°
B) 113°
D) 75°

Answer 1

By the inscribed angle theorem, the measure of angle L is half the measure of the arc MN, so angle L has measure (76/2)º = 38º.

The interior angles of any triangle add to 180º in measure, so

L + M + N = 180º

38º + 64º + N = 180º

N = 78º

so the answer is A.