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Wewaii [24]
2 years ago
15

Find the measure of each angle listed below. Enter only numbers without space.

Mathematics
1 answer:
Sloan [31]2 years ago
7 0

9514 1404 393

Answer:

  1. ∠PTQ = 45°
  2. ∠QTR = 15°
  3. ∠PTS = 120°

Step-by-step explanation:

Parallelogram PTSR is divided into two equilateral triangles by diagonal RT. All of the acute angles in that quadrilateral are 60°, and the obtuse angles are 120° (2×60° and also the supplement of 60°).

Triangle PTQ is an isosceles right triangle, so its acute angles are 45°.

  ∠PTQ = 45°

  ∠QTR = ∠PTR -∠PTQ = 60° -45°

  ∠QTR = 15°

  ∠PTS = 120° . . . . . . obtuse angle in PTSR; sum of ∠PTR and ∠RTS

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