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In △ABC, ∠B = 60° and ∠C = 40°. AD bisects ∠A and meets BC at D. Find ∠ADC.

Class 9Exterior Angle of a TriangleGeometry — Lines and Angles
  • A120°
  • B40°
  • C80°
  • D100°

Step-by-Step Solution

∠A = 180° − 60° − 40° = 80°, so ∠BAD = 40°. ∠ADC is exterior to △ABD: ∠ADC = ∠BAD + ∠B = 40° + 60° = 100°.
Answer: D) 100°

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