56. In the figure shown below, C, M, and N lie on the circle whose center is O, and ∠MON is a right angle. What is the sum of the measures of ∠CMO and ∠CNO ?

Answer and Explanation

Your Answer is

Correct Answer is J

Explanation

Because the angle C is the peripheral angle of the arc MN, and the arc MN is exactly 1/4 of the whole arc, the angle C is equal to 45 degrees. The sum of the internal angles of the trapezoid CMON is 360 degrees, so the sum of the angles CMO and CNO can be obtained as 45 degrees.