Question

PQRS is a square and PQTU is a rhombus. UPS= 136. find X and y
​

Answer 1

Answer:

∠x = ∠y = 22°

Step-by-step explanation:

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°