Question

abcd is a cyclic quadrilateral if angle bcd=100 and angle ABC= 60 then angle ADB?​

Answer 1

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As ABCD is a cyclic quadrilateral 

then sum of opposite angles ( i.e. BCD + BAD = 180 ) as BAD = 80

AS BAD is a triangle 

ABD + BAD + ADB = 180 

70 + 80 + ADB = 180 

ADB = 180 - 150 

ADB = 30