Question

If PQ and RS intersect at point o POR :ROQ =2:3 find POS and SOQ​

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)

Answer 2

$\huge\underbrace\bold\red{AnSwer✨}$

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

But, ∠POR:∠ROQ = 5:7 (Given)

Therefore, ∠POR= 5/12 ×180 = 75°

Similarly, ∠ROQ= 7/12 ×180 = 105°

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

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

$\huge\underline\mathbb\blue{FoLLoWmE}$