*In ∆ABC ∠A ≅ ∠C then which two sides of ∆ABC are congruent ?*
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Given: In ∆ABC ∠A ≅ ∠C
To Find : which two sides of ∆ABC are congruent
Solution:
In ∆ABC
∠A ≅ ∠C
Measure of congruent angles are equal
=> m∠A = m∠C
In a triangle side opposite to Equal angles are Equal
Side opposite to ∠A = BC
Side opposite to ∠C = AB
Hence length of BC = length of AB
Segments with equal length are congruent
Hence
BC ≅ AB
Sides AB and BC are two sides of ∆ABC are congruent
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