Question

) in the given figure, line PQ and RS intersect each other at point 0.
If POR: ROQ = 5:7, find all the angles.
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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)