In the figure above, MQ and NR intersect at point P, NP , and MP Congruent to PR . What is the measure, in degrees of A) 30 Degrees
B) 60 Degrees
C) 120 Degrees
D) 70 Degrees

∠QMR = 30°

Step-by-step explanation:

∠QPR = 60°

∠MPR + ∠QPR = 180

∠MPR + 60 = 180

            -60       -60

∠MPR = 120°

It is given that MP = PR, so it follows that triangle MPR is isosceles. Therefore ∠QMR and ∠NRM must be congruent.

Since the sum of the measure of these two angles is 60°, it follows that the measure of each angle is 30°

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step-by-step explanation:

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