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In kite ABCD with AB = AD and CB = CD, the diagonal AC is drawn. If ∠BAD = 80°, what is ∠BAC?

Class 8Kites and TrapeziumsQuadrilaterals
  • A50°
  • B80°
  • C100°
  • D40°

Step-by-Step Solution

Triangles ABC and ADC are congruent (SSS), so the main diagonal AC bisects ∠A: ∠BAC = 80° ÷ 2 = 40°.
Answer: D) 40°

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