Question

The sides opposite to equal angles of a triangle are ---------​

Answer 1

Answer:

ᴇϙᴜᴀʟ

Step-by-step explanation:

ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs ᴍᴀᴛᴇ☺️

Answer 2

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

Proof: The Isosceles Triangle Theorem

THEOREM 3

The sides opposite to equal angles of a triangle are equal.

Prove that if two angles of a triangle are congruent, then the triangle is isosceles.

Statements Reasons

In

△ABC

,

∠B=∠C

Given

Construct

AF←→

, the angle bisector of

∠A

, with the intersection of and .

An angle has only one angle bisector

∠BAF=∠CAF

An angle has only one angle bisector

AF=AF

Reflexive Property

ΔABF≅ΔACF

AAS congruence rule

AB=AC

CPCTC

Example A

Prove that the base angles of an isosceles triangle are congruent.

Solution: The base angles of an isosceles triangle are the angles opposite the congruent sides. Below, the base angles are marked for isosceles

ΔABC

.

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