Question

The lines PQ and RS are intersecting each other at ‘O'. If the angles POR and QOR are in the ratio of 4:5 then find all angles and draw the diagram.​

Answer 1

Answer:

∠POR+∠ROQ=180o    (Linear pair of angles)

But ∠POR:∠ROQ=5:7   (Given)

Therefore, ∠POR=125×180=75o

Similarly, ∠ROQ=127×180=105o

Now, ∠POS=∠ROQ=105o   (Vertically opposite angles)

and ∠SOQ=∠POR=75o    (Vertically opposite angles)