Question

In the given figure, lines PQ and RS intersect each other
at point o. If POR: ROQ = 5:7, Find all the angles.
​

Answer 1

Answer:

∠POR+∠ROQ=180

o

(Linear pair of angles)

But ∠POR:∠ROQ=5:7 (Given)

Therefore, ∠POR=

12

5

×180=75

o

Similarly, ∠ROQ=

12

7

×180=105

o

Now, ∠POS=∠ROQ=105

o

(Vertically opposite angles)

and ∠SOQ=∠POR=75 o

(Vertically opposite angles)