Question

in the given figure lines PQ and RS intersect each other at point O. if angle is POR : angle is is ROQ = 5:7 find all the angles​

Answer 1

Step-by-step explanation:

let a be the common factor of given ratio

so, por=5a & roq=7a

both these angles together forms a straight line and we know that a straight line is of 180⁰

hence according to the given figure

5a + 7a = 180

a = 15

por=5x15=75⁰

roq=7x15=105

now poq and soq are vertically opposite angles so both angles will be equal

so,soq=75⁰

similarly,roq & pos are vertically opposite angles

so both angles will be equal

so,pos=105⁰

hope this is helpful for you