Question

PQ parallel to RS and parallel to QR if angle \_PRS =60 then measure of angle /_RFE-? ​

Answer 1

Answer:

Draw a line AB parallel to PQ, so AB∥PQ and PQ∥RS, so AB∥RS.

It is known that the sum of two interior angles on the same side is 180

∘

, therefore,

∠QXM+∠XMB=180

∘

∠XMB=180

∘

−135

∘

∠XMB=45

∘

It is also known that the alternate interior angles are equal, so,

∠BMY=∠MYR

∠BMY=40

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Now, ∠XMY=∠XMB+∠BMY

=45

∘

+40

∘

=85

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