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In the figure, lines AB and CD intersect at O. Angle AOC = $(3 x)$ deg and angle BOC = $(2 x + 30)$ deg. Find the measure of angle AOC.

Class 9Pairs of AnglesGeometry — Lines and Angles

A81
B99
C180
D90

Step-by-Step Solution

AOC and BOC form a linear pair:

3 x + (2 x + 30) = 180, 5 x = 150, x = 30

. angle AOC =

3 x = 90

deg.

Answer: D) 90

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