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Question

ABCD is a cyclic quadrilateral, in which DBC =80 and BAC = 40 . Find BCD.


A

30°

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B

40°

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C

50°

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D

60°

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Solution

The correct option is D

60°


Given, In cyclic quadilateral ABCD,

DBC= 80 ,BAC =40

To find BCD,


DBC= DAC (Angles in same segment) DBC =80

Now, DAB = DAC+ CAB = 80+40=120

Then, DAB +BCD =180

120^\circ\)+BCD= 180

BCD= 180- 120 =60


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