Question

Angles  opposite to equal side of triangle are

Unequal 

Supplementary angles 

Complementary angles 

Equal 

​

Answer 1

yes they are equal

Theorem : Angles opposite to equal sides of an isosceles triangle are equal.

Proof :

We are given an isosceles triangle ABC in which AB = AC. We need to prove that ∠B = ∠C.

Let us draw the bisector of ∠ A and let D be the point of intersection of this bisector of ∠ A and BC.

In Δ BAD and Δ CAD,

AB = AC (Given)

∠BAD = ∠CAD (By construction)

AD = AD (Common)

So, Δ BAD ≅ Δ CAD (By SAS rule)

So, ∠ABD = ∠ACD, since they are corresponding angles of congruent triangles.

So, ∠B = ∠C

Answer 2

Angles opposite to equal sides of triangle are equal.

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