In a cyclic-quadrilateral PQRS, angle PQR=135∘. Sides SP and RQ produced meet at point A : whereas sides PQ and SR produced meet at point B.
If ∠A : ∠B=2 :1; find angles A and B.
Given is a cyclic quadrilateral.
or if , then
(sum of the opposite angles in a cyclic quadrilateral is )
In
… … … (i)
In
Therefore … … … (ii)
Hence
Therefore