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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 C 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

Mathematics

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