Question

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Answer 1

Given:-

∠ABC = ∠ACM

To prove:-

∠ABL = ∠ACM

Proof:-

In △ABC,

∠ABC = ∠ACB .......(1)..{given}

•°• side AB=AC ......{ side opposite to congruent angles are congruent}

•°• △ABC is an Isosceles triangle

now,

∠ABL = ∠BAC + ∠ACB ...(2)...{remote exterior angle}

And,

∠ACM =∠BAC + ∠ABC ....(3)..{remote exterior angle}

from (1), (2) and (3)

∠ABL = ∠ACM

Hence proved that,

∠ABL = ∠ACM,,