Lines PQ and RS intersect at O. Angle POR = $(x)$ ° and angle ROQ = $(x + 40)$ ° are adjacent on line PQ.
The angle vertically opposite to POR is then measured. What is its value?

Question

Lines PQ and RS intersect at O. Angle POR = (x)° and angle ROQ = (x + 40)° are adjacent on line PQ. The angle vertically opposite to POR is then measured. What is its value?

Accepted Answer

70. Linear pair on PQ: x + (x + 40) = 180, 2x = 140, x = 70. Angle POR = 70°, so its vertically opposite angle = 70°.

Lines PQ and RS intersect at O. Angle POR = $(x)$ ° and angle ROQ = $(x + 40)$ ° are adjacent on line PQ.
The angle vertically opposite to POR is then measured. What is its value?

Step-by-Step Solution

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More Class 7 Adjacent and Vertically Opposite Angles practice

Lines PQ and RS intersect at O. Angle POR = (x)° and angle ROQ = (x+40)° are adjacent on line PQ.The angle vertically opposite to POR is then measured. What is its value?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Adjacent and Vertically Opposite Angles practice

Lines PQ and RS intersect at O. Angle POR = $(x)$ ° and angle ROQ = $(x + 40)$ ° are adjacent on line PQ.
The angle vertically opposite to POR is then measured. What is its value?