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Question

ABCD is a cyclic quadrilateral. If BCD=100 and ABD=70, then 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 that ABCD is a cyclic quadilateral such thatBCD=100 and ABD=70.

Since opposite angles of a cyclic quadrilateral are supplementary,
DAB+DCB=180.

DAB=180DCB
=180100=80

Consider ADB, since sum of angles of a triangle is 180, we have
ADB+DAB+ABD=180

i.e.,ADB+80+70=180

ADB=180150=30


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