Question

In given figure, lines PQ and RS intersect each other at point 0. If LPOR: LROQ is

5: 15.Then, find the angle of LS0Q.​

Answer 1

Step-by-step explanation:

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)