In the given figure, PQRS is a rectangle if ∠RPQ=30∘. Then, the value of (x + y) is:
The diagonals of a rectangle bisect each other and are equal in size.
⇒ OP = OQ = OR = OS
Since, OP = OQ =∠OPQ=∠OQP=30∘
All the angles of a rectangle are 90∘.
Also, ∠POQ = ∠SOR (as they are Vertically Opposite Angles)
The required sum is,