Question

In the given figure, if angle PSO = angle QRO and OS = OR, then prove that OP = OQ​

Answer 1

Step-by-step explanation:

angle SOP = angle ROQ (vertically opposite angles)

OS = OR (given)

angle PSO = angle QRO (given)

therefore triangle SOP is congruent to triangle ROQ (by SAS test)

therefore OP = OQ (c.p.c.t)