PQRS is a square and PQTU is a rhombus. Angle UPS =136degree. Find x and y
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Answer:
∠x = ∠y = 22°
Step-by-step explanation:
Please see the attached picture
PQRS is a square
=> PQ = QR = RS = PS
PQTU is a rhombus
=> PQ = QT = TU = PU
from both
PU = PS
in Δ UPS
PU = PS
=> ∠x = ∠y
& ∠UPS + ∠x + ∠y = 180°
=> 136° + ∠x + ∠y = 180°
=> ∠x + ∠y = 44°
∠x = ∠y
Hence ∠x = ∠y = 22°
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