Question

. In the given figure , two straight lines PQ and RS intersect at O. If ∠ POS =114° , find the measure of each of the angles (i ) ∠POR (ii) ∠ROQ (iii) ∠QOS​

Answer 1

Answer:

PoR = 66 , ROQ= 114 and QOS = 66

Step-by-step explanation:

if angle pos = 114

angle ROQ = 114 { vertically opposite angles)

also ..angle POR + POS = 180 ( linear pair)

so angle POR = 180- 114 = 66°

now angle PoR = angle QOS = 66° { VERTICALLY opposite angles)