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Mathematics

In △ABC, BC = AB and ∠B = 80°. Then ∠A is equal to

  1. 80°

  2. 40°

  3. 50°

  4. 100°

Triangles

ICSE

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Answer

Since in △ABC, BC = AB.

∴ ∠A = ∠C. (As angles opposite to equal sides in isosceles triangle are equal.)

Let ∠A = ∠C = x.

Sum of angles of triangle = 180°.

∠A + ∠B + ∠C = 180°

x + 80° + x = 180°

2x = 100°

x = 50°

∠A = 50°.

Hence, Option 3 is the correct option.

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