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In the given figure, ABCD is a cyclic qu...

In the given figure, `ABCD` is a cyclic quadrilateral in which `AB || DC` and `/_ BAD = 100^(@)`. Then, `/_ ABC = ?`

A

`80^(@)`

B

`100^(@)`

C

`50^(@)`

D

`40^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
Since `ABCD` is a cyclic quadrilateral , we have
`/_ BAD + /_ BCD = 180^(@) implies 100^(@) +/_BCD = 180^(@) implies /_ BCD = 80^(@)`
Now, `AB||DC` and CB is the transversal .
`:. /_ ABC + /_ BCD = 180^(@) implies /_ ABC + 80^(@) = 180^(@) implies /_ ABC = 100^(@)`
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