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Side BC of triangle ABC is produced to D. The exterior angle ∠ACD is 112°, and ∠B is three-fourths of ∠A. Find ∠A.

Competition practiceGeometry
  • A64°
  • B48°
  • C68°
  • D56°

Step-by-Step Solution

The exterior angle equals the sum of the two interior opposite angles: , so and ∠°.
Answer: A) 64°

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