In a triangle ABC, a/b=2+sqrt(3), angleC...

In a triangle ABC, `a/b=2+sqrt(3), angleC=60^(@)`, then in the triangle

A

`/_A=105^(@)`

B

`/_B=15^(@)`

C

`/_A=115^(@)`

D

`/_ B=105^(@)`

Verified by Experts

The correct Answer is:

A, B

Since `(a/b-1)/(a/b+1)=tan (A-B)2 "tan" C/2`
`impliesA-B=90^(@)` and `A+B=120^(@)`
`impliesA=105^(@)` and `B=15^(@)`

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