Question

In the given figure, two straight line PQ and RS intersect at O. If ∠ POS = 106º , find the measure of each of the angles: i) ∠ POR ii) ∠ROQ iii) ∠ QOS












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Answer 1

Answer:

ROQ=106

POS=106

QOS=74

ROP=74

Step-by-step explanation:

First of all POS and ROQ ARE EQUAL BECAUSE THEY ARE VERTICALLY OPPOSITE ANGLES.

SO ROQ = POS = 106

ROQ+QOS = 180 ( SUPPLEMENTARY ANGLES)

QOS=180-ROQ

QOS=180-106

QOS=74.

QOS=ROP (VERTICALLY OPPOSITE ANGLE)

ROP=74