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A Delta ABC is right angled at A. L is a...

A `Delta` ABC is right angled at A. L is a point on BC such that AL`bot` BC. Prove that `/_BAL = /_ACB`.

Text Solution

Verified by Experts

Sicne `angleA=90^(@)" "` (given)
`:. angle1+angle3=90^(@)....(1)`
Also, since `ALbotBC" "`(given)
`:. angle4=90^(@)" "...(2)`
(by angle sum property, `angle2+angle3+angle4=180^(@)`

From (1) and (2), we get
`angle1+angle3=angle2+angle3`
`rArr angle1=angle2`
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