Question

click on the image at the top​

Answer 1

angle ROQ = POS ( vertically opposite angle )

angle ROQ + QOS = 180

180 - ROQ = QOS

QOS= ROP ( Vertically opposite angle )

Answer 2

<POR+<ROQ=180°[ANGLES IN LINEAR PAIR]

LET 'x' be the common multiple.

so,

5x+7x=180

12x=180

x=180/12

x=15

so,

5x=15×5=75

7x=7×15=105

<POR=75°

<ROQ=105°

<POR=<QOS AND <ROQ=<POS (VERTICALLY OPPOSITE ANGLES)

SO.

<POR=<QOS=75°

<ROQ=<POS=105°