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The exterior angles of a triangle are in the ratio 4 : 5 : 6. What is the largest interior angle?

Competition practiceGeometry
  • A84°
  • B144°
  • C72°
  • D96°

Step-by-Step Solution

The exterior angles add to 360°, so they are 96°, 120° and 144°. The interior angles are 84°, 60° and 36°; the largest is 84°.
Answer: A) 84°

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