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CDS 2022 · PYQ · Geometry · medium

In a triangle ABC, AB = AC and BC is produced to D such that ∠ACD = x, then what is ∠BAC equal to?

Answer

The correct answer is C: 2x - 180°. ∠ACB = 180°-x (linear pair). Since AB=AC, ∠ABC=∠ACB=180°-x.

  1. A.180° - 2x
  2. B.2x - 90°
  3. C.2x - 180°✓ Correct
  4. D.x/2

Explanation

∠ACB = 180°-x (linear pair). Since AB=AC, ∠ABC=∠ACB=180°-x. ∠BAC = 180°-2(180°-x) = 2x-180°.
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