Two lines AB and CD intersect at O. Angle AOC = (2x + 30)° and angle BOD = (3x − 10)° are vertically opposite. Also angle AOD is the linear-pair partner of angle AOC. Find angle AOD.

Question

Accepted Answer

70. Vertically opposite: 2x + 30 = 3x − 10, x = 40. Angle AOC = 2(40) + 30 = 110°. Angle AOD = 180° − 110° = 70°.

Two lines AB and CD intersect at O. Angle AOC = $(2 x + 30)$ ° and angle BOD = $(3 x - 10)$ ° are vertically opposite.
Also angle AOD is the linear-pair partner of angle AOC. Find angle AOD.

Step-by-Step Solution

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More Class 7 Adjacent and Vertically Opposite Angles practice

Two lines AB and CD intersect at O. Angle AOC = (2x+30)° and angle BOD = (3x−10)° are vertically opposite.Also angle AOD is the linear-pair partner of angle AOC. Find angle AOD.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 7 Adjacent and Vertically Opposite Angles practice

Two lines AB and CD intersect at O. Angle AOC = $(2 x + 30)$ ° and angle BOD = $(3 x - 10)$ ° are vertically opposite.
Also angle AOD is the linear-pair partner of angle AOC. Find angle AOD.