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In the figure given below, bar(ED)||bar(...

In the figure given below, `bar(ED)||bar(AB)` and `bar(EF)||bar(BC)`. If `/_FED =40^(@)` and `/_ DEC =20^(@)`, then the angle made by `bar(BC)` at the centre is

A

`20^(@)`

B

`40^(@)`

C

`60^(@)`

D

`80^(@)`

Text Solution

Verified by Experts

The correct Answer is:
b
(i) Corresponding angles are equal. Angle subtended by a chord at the centre of a circle is twice the angle subtended by it any point on the circumference in the same segment in whichi the centre lies.
(ii) FBDE is a parallelogram.
(iii) In `Delta ABC`, find `/_BAC`
(iv) Use angle made by BC at centre `= 2 xx /_ BAC` and find the required angle.
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