Q. 183.7( 19 Votes )

In Fig. 8.47, lines PQ and RS intersect each other at point O. If POR : ROQ = 5 : 7, find all the angles.


Answer :

Given,

POR and ROP is linear pair


POR + ROP = 180o


Given that,


POR = ROQ = 5: 7


Therefore,


POR =  × 180o = 75o


Similarly,


ROQ = 125o


Now,


POS = ROQ = 125o(Vertically opposite angles)


Therefore,


SOQ = POR = 75o(Vertically opposite angles)

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