Two lines PQ and RS intersect at the point O such that Angle POS +Angle ROQ=280 So find - Maths - Lines and Angles

Question

Two lines PQ and RS intersect at the point O such that
Angle POS +Angle ROQ=280 So find all the angles

Rishabh Mittal · Accepted Answer

∠POS + ∠ROQ = 280°   Given∠POS = ∠ROQ                  Vertically opposite anglesso,∠POS + ∠POS = 280°2∠POS = 280°∠POS=140°SO, ∠ROQ=∠POS=140°∠POS + ∠SOQ = 180°      Linear pair140° + ∠SOQ =180°∠SOQ =40°∠POR=∠SOQ=40°            Vertically opposite angles

Two lines PQ and RS intersect at the point O such that Angle POS +Angle ROQ=280.. So find all the angles..