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Question

In the given figure, AB and CD are two lines intersecting at O. If AOC and BOC are in ratio 2 : 3, find all angles.


A

72,108,108,72

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B

45,100,100,45

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C

30,120,30,120

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D

50,120,50,120

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Solution

The correct option is A

72,108,108,72


AOC+BOC=180 [Linear Pair]
AOC:BOC=2:3
Let AOC=2x and BOC=3x
2x+3x=180
5x=180
x=36

Thus, AOC=2x=72And BOC=3x=108

BOD=AOC=72

AOD=BOC=108


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