Контрольные задания > 13. In triangle PTS, PT = TS. Angle T = 130 degrees. M and N are points on PT and TS respectively, such that PM is perpendicular to PS and SN is perpendicular to PS. O is the intersection of PS and MN. Find angles T, TPS, and TSP.
Вопрос:

13. In triangle PTS, PT = TS. Angle T = 130 degrees. M and N are points on PT and TS respectively, such that PM is perpendicular to PS and SN is perpendicular to PS. O is the intersection of PS and MN. Find angles T, TPS, and TSP.

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Ответ:

Решение:

  • Треугольник PTS равнобедренный, так как PT = TS.
  • Угол T = 130° (дано).
  • Углы при основании равны: ∕TPS = ∕TSP = (180° - 130°) / 2 = 50° / 2 = 25°.

Ответ: ∕T = 130°, ∕TPS = 25°, ∕TSP = 25°.

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