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Mathematics

In a △ABC, AB = AC and ∠B = 50°. Then ∠A =

  1. 50°

  2. 80°

  3. 100°

  4. 105°

Triangles

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Answer

In △ABC,

AB = AC

⇒ ∠B = ∠C = 50° (Angles opposite to equal sides in a triangle are equal)

By angle sum property of triangle,

⇒ ∠A + ∠B + ∠C = 180°

⇒ ∠A + 50° + 50° = 180°

⇒ ∠A + 100° = 180°

⇒ ∠A = 180° - 100°

⇒ ∠A = 80°.

Hence, option 2 is the correct option.

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