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In isosceles trapezium ABCD (AB ∥ DC), the top angle ∠C is 40° more than the bottom angle ∠A. Find ∠C.

Class 8Kites and TrapeziumsQuadrilaterals
  • A40°
  • B70°
  • C110°
  • D140°

Step-by-Step Solution

∠D = ∠C and ∠A + ∠D = 180°, so ∠A + ∠C = 180°. With ∠C − ∠A = 40°: 2∠C = 220°, ∠C = 110°, ∠A = 70°.
Answer: C) 110°

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