Lines AB and CD intersect at O. Angle AOC = (3x) deg and angle AOD = (5x) deg. Find angle BOC.

Question

Accepted Answer

112.5. Angles AOC and AOD are a linear pair (on line CD): 3x + 5x = 180, 8x = 180, x = 22.5. So angle AOD = 112.5°, and angle BOC is vertically opposite angle AOD, so angle BOC = 112.5°.

Lines AB and CD intersect at O. Angle AOC = $(3 x)$ deg and angle AOD = $(5 x)$ deg. Find angle BOC.

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