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In kite ABCD with AB = AD and CB = CD, diagonal BD is drawn. ∠ABD = 40° and ∠CBD = 25°. Find ∠C.

Class 8Kites and TrapeziumsQuadrilaterals
  • A115°
  • B65°
  • C130°
  • D100°

Step-by-Step Solution

Triangle CBD is isosceles (CB = CD), so ∠CDB = 25° and ∠C = 180° − 25° − 25° = 130°. (Likewise ∠A = 100°, ∠B = ∠D = 65°; total 360°.)
Answer: C) 130°

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