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In a triangle ABC, if angleA=70^(@) and ...

In a triangle ABC, if `angleA=70^(@) and AB=AC`, then find the measures of `angleB and angleC`.

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Verified by Experts

The correct Answer is:
`55^(@),55^(@)`
Given `angleA=70^(@)`
AB = AC
We know that:
`70^(@)+2x^(@)=180^(@)`
`2x^(@)=180^(@)-70^(@)=110^(@)`
`x^(@)=(110^(@))/(2)=55^(@)`
`rArr angleB=angleC=55^(@)`
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