Question

in the fig if PQllRS ,angleMXQ=135° and angle MYR=40°,find angleXMY

Answer 1

Let AB।। PQ drawn through point M
Since PQ।।RS,
Therefore,
AB।।Rs

Since AB।।PQ and MX is the transversal

angle XMB + angle QXM = 180 degree
(Interior angles on the same side of the transversal are supplementary)

=>angle XMB + 135 degree = 180 degree

=>angle XMB = (180 - 135) degree

=>angle XMB = 45 degree

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