In figure PQ ll RS , ∠MXQ=1350 and ∠MYR =400
, find ∠XMY.
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•°• 85 is the ans .............
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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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