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In the figure, side BA of △ABC is produced to E. The exterior angle ∠EAC is 100° and ∠B = 45°. Find ∠C.

Class 9Exterior Angle of a TriangleGeometry — Lines and Angles
  • A55°
  • B35°
  • C145°
  • D80°

Step-by-Step Solution

The exterior angle at A equals the sum of the interior opposite angles ∠B and ∠C: 100° = 45° + ∠C, so ∠C = 55°.
Answer: A) 55°

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