Question

find the value of x in given figures ​

Answer 1

II)

AMB = PMQ = 35 [Vertical opposite angle]

RQM + MQP = 180 [Linear pair]

100 + MQP = 180

MQP = 180 -100

MQP = 80

PMQ + MQP + PQM = 180 [Angle sum property of triangle]

x + 80 + 35 = 180

x + 115 = 180

x = 180 - 115

x =  65

III)

PQX = RQS = 100 [Vertical Opposite Angle]

QSR + RQS + QRS = 180 [Angle sum property of triangle]

QSR + 100 + 50 = 180

QSR + 150 = 180

QSR = 180 - 150

QSR = 30

QSR + TSQ = 180 [Linear Pair]

x = 180 - QSR

x = 180 - 30

x = 50

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