Question

In the figure, PQRS is a square and PQTU is a rhombus. Angle UPS=136°.find x and y​

Answer 1

⟨x=⟨y=22°

PQRS is a square

PQ=QR=RS=PS

PQTU is a rhombus

PQ=QT=TU=PU

from both

PU=PS

in triangle UPS

PU=PS

⟨x=⟨y

and ⟨UPS+⟨x+⟨y=180°

136°+⟨x+⟨y=180°

⟨x+⟨y=44°

⟨x+⟨y

Hence⟨x=⟨y=22°