Question

angle mon is a straight angle and op bisects ∠moq. what is the measure of ∠mop? 122° 58° 61° 29°

Explanation:

Step1: Find ∠MOQ

Since ∠MON is straight (180°) and ∠NOQ = 58°, then ∠MOQ=180° - 58° = 122°.

Step2: Calculate ∠MOP

OP bisects ∠MOQ, so ∠MOP = $\frac{1}{2}$∠MOQ = $\frac{1}{2}$×122° = 61°.

Answer:

61°