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An exterior angle of a triangle measures 110°. The two remote (opposite) interior angles are in the ratio 3 : 2. What is the measure of the smaller of those two interior angles?

Competition practiceGeometry
  • A66°
  • B44°
  • C40°
  • D46°

Step-by-Step Solution

An exterior angle equals the sum of the two remote interior angles, so 3k + 2k = 110, giving k = 22. The angles are 66° and 44°, and the smaller one is 44°.
Answer: B) 44°

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