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In the given figrue, the sides CB and BA...

In the given figrue, the sides `CB` and `BA` of `DeltaABC` have been produced to `D` and `E` respectively such that `angleABD=110^(@)andangleCAE=135^(@)." Then, "angleACB=?`

A

`65^(@)`

B

`45^(@)`

C

`55^(@)`

D

`35^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
`angleBAC=(180^(@)-135^(@))=45^(@)andangleABD=(180^(@)-110^(@))=70^(@)`
`angleA+angleB+angleC=180^(@)implies45^(@)+70^(@)+angleACB=180^(@)impliesangleACB=65^(@)`.
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