Question

PQRS is a cyclic quadrilateral in which side PS and QR are produced to point T outside the circle.If PQ=RT and arc.PS=arc.RS prove that:

Answer 1

Answer:

In △TPS and △TRQ

∠PST=∠RQT

∠SPQ=∠QRT

[∵ exterior angle of cyclic quadrilateral is equal to the interior opposite angle]

∠T=∠T (common)

∴△TPS−△TRQ (By AA)