Question

pq is line &rs is line intersect at o if angle pos =2x+30° &angle roq =3x-10°.find x.​
please give answer fast

Answer 1

Answer:

2x+30°=3x-10(Vertically Opposite Angle)

30+10=3x-2x

40=1x

x=40

Answer 2

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)