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МатематикаВопрос:
f) The triangle has two equal sides marked with tick marks. One angle is 75 degrees. The angle 'f' is opposite one of the equal sides. This is an isosceles triangle.
Ответ:
Обоснование:
Треугольник на рисунке f) является равнобедренным, так как две его стороны отмечены одинаковыми штрихами. Углы при основании равнобедренного треугольника равны. Угол в 75° является одним из углов при основании. Значит, второй угол при основании также равен 75°. Сумма углов треугольника равна 180°. Третий угол (обозначенный как f) равен 180° - (75° + 75°) = 180° - 150° = 30°.
Ответ: f = 30°
Похожие
- a) The triangle has three equal sides and one angle marked 'a' at the top. All sides are marked with tick marks indicating equality. This means it is an equilateral triangle.
- b) The triangle has two equal sides marked with tick marks. One angle is given as 70 degrees, and the other two angles are labeled 'b'. This is an isosceles triangle.
- c) The triangle has two equal sides marked with tick marks. One angle is 24 degrees. One side is marked with a tick and another side with a double tick, indicating they are not equal. The angle 'c' is opposite the side with a single tick. The angle at the top vertex is 24 degrees. The angle opposite the side with a double tick is marked with a square, indicating it's a right angle (90 degrees). This is a right-angled isosceles triangle.
- d) The triangle has two equal sides marked with tick marks. One angle is 110 degrees. The angle labeled 'd' is opposite one of the equal sides. The angle adjacent to the 110-degree angle is opposite the other equal side. This is an obtuse isosceles triangle.
- e) The triangle has a right angle (90 degrees). Two sides are marked with tick marks, indicating they are equal. This is a right-angled isosceles triangle. The angle 'e' is opposite one of the equal sides.
