Question

ABC is a right angled at the point A, AL is the perpendicular to BC. proved that angle BAL=angle ACB.

Answer 1

proof in triangle ABC

ang ALB+ ang BAL+ang ABC=180
90+ang BAL+ang ABC=180
ang BAL +ang ABC=90 ....( 1 )

in triangle ABC

ang BAC+ ang ACB + ang ABC=180

90+ang ACB +ang ABC=180
ang ACB +ang ABC=90....( 2 )

from ( 1 ) and ( 2 ) we get

ang BAL+ ang ABC = ang ACB +ang ABC

ang BAL=ang ACB ( By removing ABC from both side)