Question

in the given figure AD is the bisector of angle a of triangle ABC in which AB is equal to AC prove that angles opposite to equal sides are equal​

Answer 1

Answer:

angle BAD =angle CAD ( because AD is angle bisector of angle BAC )

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Answer 2

Answer with Step-by-step explanation:

AD is a bisector of angle A in triangle ABC

AB=AC

To prove:Angle B=Angle C

Proof:In triangle ADC and ADB

AD=AD

Reason: Common side

AC=AB

Reason: Given

Angle CAD=Angle BAD

Reason: AD is bisector of angle A

$\triangle$ADC$\cong \triangle$ADB

Reason:SAS Postulate

Angle C=Angle B

Reason: CPCT

Hence, proved.

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