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In a cyclic quadrilateral ABCD, it is ...

In a cyclic quadrilateral ABCD, it is being given that ` angle A = (x + y + 10)^(@), angle B = ( y + 20 ) ^(@), angle C = (x + y - 30 ) ^(@) and angle D = (x + y ) ^(@)`. Then, ` angle B ` ?

A

`70^(@)`

B

`80^(@)`

C

`100^(@)`

D

`110^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
` angle A + angle C = 180^(@) and angle B + angle D = 180^(@)`
The given ` x + y = 100 and x + 2y = 160`.
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