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In the given , equilateral DeltaABC is i...

In the given , equilateral `DeltaABC` is inscribed in a circle and ABDC is a quadrialteral, as shown. Then , `/_ BDC= ?`

A

`90^(@)`

B

`60^(@)`

C

`120^(@)`

D

`150^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
Since `Delta ABC ` is an equilateral triangle, each of its angles is `60^(@)`
`:. /_ BAC = 60^(@)`
In cyclic quad. ABDC, we have
`:. /_ BAC + /_ BDC = 180^(@) implies 60^(@)+ /_ BDC = 180^(@) implies /_ BDC = 120^(@)`
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