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PQ ∥ RS and a transversal meets PQ at M and RS at N. The bisectors of ∠QMN and ∠MNS meet at T. What is ∠MTN?

Competition practiceGeometry
  • A90°
  • B45°
  • C60°
  • D120°

Step-by-Step Solution

∠QMN and ∠MNS are co-interior, so they add to 180°. Their halves add to 90°, so in triangle MTN the third angle is .
Answer: A) 90°

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