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Side BC of △ABC is produced to D. ∠ACD = 2∠A and ∠B = 50°. Find the interior angle ∠ACB.

Class 9Exterior Angle of a TriangleGeometry — Lines and Angles
  • A80°
  • B30°
  • C50°
  • D100°

Step-by-Step Solution

∠ACD = ∠A + ∠B gives 2∠A = ∠A + 50°, so ∠A = 50° and ∠ACD = 100°. Then ∠ACB = 180° − 100° = 80°.
Answer: A) 80°

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