A triangle ABC , right angled at A . L is a point on BC such that AL is perpendicular to BC . Prove that angle BAL = angle ACB
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Answered by
27
Hi Dear !
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In ΔCAB
∠B + ∠C + ∠CAB = 180° --(1)
In ΔBLA
∠B + ∠BLA + ∠BAL = 180° --(2)
By 1 and 2 we get ,
∠B + ∠C + ∠CAB = ∠B + ∠BLA + ∠BAL
∠C + ∠CAB = ∠BLA + ∠BAL
[∠BLA = ∠BAC ...(90°0) ]
so,
∠ACB = ∠BAL
________________________________________________________
In ΔCAB
∠B + ∠C + ∠CAB = 180° --(1)
In ΔBLA
∠B + ∠BLA + ∠BAL = 180° --(2)
By 1 and 2 we get ,
∠B + ∠C + ∠CAB = ∠B + ∠BLA + ∠BAL
∠C + ∠CAB = ∠BLA + ∠BAL
[∠BLA = ∠BAC ...(90°0) ]
so,
∠ACB = ∠BAL
Answered by
20
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here's ur answer ✍✍✍
➡️ Refer to attachment
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