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In the figure, ray OB lies between rays OA and OC. Angle AOB = $(x + 20)$ deg, angle BOC = $(2 x)$ deg, and angle AOC = 110°. Find angle BOC.

Class 9Pairs of AnglesGeometry — Lines and Angles

A66
B120
C54
D60

Step-by-Step Solution

Adjacent angles:

(x + 20) + 2 x = 110, 3 x + 20 = 110, 3 x = 90, x = 30

. angle BOC =

2 x = 60

deg.

Answer: D) 60

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