In fig PQRS is a cyclic quadrilateral if angle QRS=1100,find angle SPQ - Maths - Quadrilaterals

Question

In fig PQRS is a cyclic quadrilateral if angle
QRS=1100,find angle SPQ

Varun.Rawat · Accepted Answer

We have :∠QRS = 110°Since, PQRS is a cyclic quadrilateral,    ∠SPQ + ∠QRS = 180°  Opposite angles of cyclic quadrilateral are supplementary⇒∠SPQ+ 110° = 180°⇒∠SPQ= 180° - 110°⇒∠SPQ = 70°

In fig. PQRS is a cyclic quadrilateral if angle QRS=1100,find angle SPQ.

In fig. PQRS is a cyclic quadrilateral if angle QRS=110⁰,find angle SPQ.