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Question

ABCD is a cyclic quadrilateral. If BCD = 100 and ABD = 70. Find ADB.


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 A

30°


Given: ABCD is a cyclic quadilateral and BCD=100,ABD=70

DAB+DCB=180 [Sum of the opposite angle in the cyclic quadrilateral is 180]

So, DAB=180100=80

Now in triangle ADB,

ADB+DAB+ABD=180 [Sum of angles of a triangle is 180)]
ADB+80+70=180
ADB=180150=30


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