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Properties of Isosceles and Equilateral Triangles

Question

In $Δ A B C$ , if AB $=$ BC then :
$∠ A < ∠ C$
$∠ A = ∠ C$
$∠ A = ∠ B$
$∠ B > ∠ C$

A

∠ B > ∠ C

B

∠ A < ∠ C

C

∠ A = ∠ C

D

∠ A = ∠ B

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Solution

Verified by Toppr

In $△ A B C$ , $A B = A C$
$∴$ the triangle is isoceles.
In an isoceles triangle the angles opposite to equal sides are equal.
$∴ ∠ A = ∠ C$

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