Question

Lines PQ and RS intersect at a point O. angel POR
measures xº. Find the measures of other angles in
terms of x.​

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)