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Question

In the figure shown below ABD = 30
BD is the angle bisector of ABC. What is the value of ABC.


A

60

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B
50
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C
45
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D
30
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Solution

The correct option is A

60


An angle bisector divides a given angle into two equal angles. Since BD divides ABC into two equal angles,
DBC = 30
ABC = 30+30 = 60


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