Question

In figure PQ ll RS , ∠MXQ=1350 and ∠MYR =400

, find ∠XMY.​

Answer 1

•°• 85 is the ans .............

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Answer 2

Answer:

∠XMY = 85°

Step-by-step explanation:

Draw a line AB Parallel to PQ.

If PQ || RS and AB || PQ then AB || RS.

∠BMY = ∠MYR = 40° (Alternate Angles) ----➊

∠PXM + ∠QXM = 180° (Linear Pair)

∠PXM + 135° = 180°

∠PXM = 45° ----➋

ADDING 1 AND 2

∠XMY = ∠MYR + ∠PXM

∠XMY = 40° + 45°

∠XMY = 85°

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