Question

In Fig. 13.22, the diagonals of a

rectangle PQRS intersect each other at O. If ∠ROQ = 40°, find the measure of ∠OPS.​

Answer 1

If I bisect PS through O creating point M in PS, it splits the OPS equally to form MOP and MOS.

MOP=MOS=20

and

MOP+2BOPS+2B90=180

MOP+2BOPS=90

20+2BOPS=90

OPS=70