Question

P Р
S
3. In the adjoining
figure, lines PQ
and RS intersect
each other at point O.
R
If _POR : ZROQ = 5:4,
find all the angles.​

Answer 1

Answer:

Step-by-step explanation:

∠POR+∠ROQ=180o(Linear pair of angles)

But ∠POR:∠ROQ=5:4   (Given)

Therefore, ∠POR=  

5/12 ×180=75o

 Similarly, ∠ROQ=  

​  

4/12×180=60o

 Now, ∠POS=∠ROQ=60o

   (Vertically opposite angles)

and ∠SOQ=∠POR=75  o

    (Vertically opposite angles)