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In triangle ABC, D is the midpoint of BC and AD = BD. If ∠B = 34°, find ∠C.

Competition practiceGeometry
  • A56°
  • B34°
  • C68°
  • D62°

Step-by-Step Solution

AD = BD = DC. In triangle ABD, ∠BAD = ∠°; in triangle ADC, ∠DAC = ∠. So , giving ∠° (and ∠A is a right angle).
Answer: A) 56°

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