Question

In triangle PQR,PM bisects angle QPR and PM = MR,If angle QMP = 70° then find the value of the following angles.
1) angle PRM
2) angle PQM​

Answer 1

Answer:

angle PRM=35

anglePQM=75

Answer 2

Answer:

angle PRM = 35°

angle PQM =

Step-by-step explanation:

in the figure angle PMQ and angle PMR are linear pair

so angle PMQ + angle PMR = 180°

70° + angle PMR = 180°

angle PMR = 180° - 70°

angle PMR = 110°

then, PM = MR

therefore

PMR + PRM +MPR = 180°

110° + X + X = 180°

because the angles opposite to equal sides are equal

2X = 180 - 110

X = 70 ÷ 2

X = 35°

so , angle PRM = 35°