Question

1.If a triangle ABC is drawn such that the sides AB and AC are equal and ∠C is 60°, then, the value of ∠A is​

Answer 1

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$angle \: = 60$

$a = 60$

Answer 2

∠A = 60°

________________________

☆|| Given ||☆

• AB = AC
• ∠C = 60°

☆ll To find ||☆

• ∠A = ?

Solution

[ Theorem :- Angle opposite to equal sides are equal.]

Therefore,

• AB = AC. ..........(1) (Given)
• ∠B = ∠C. ............[ By Theorem ]
• ∠B = 60°

By angle sum property of triangle,

∠A + ∠B + ∠C = 180°

∠A + 60° + 60° = 180°

∠A + 120° = 180°

∠A = 180° - 120°

∠A = 60°