Question

В прямоугольной трапеции тупой угол в 3 раза больше острого. Найдите углы трапеции

Answer 1

Острый угол - а, тупой 3а, тогда а+3а=180        а=45
углы - 45, 135,90 и 90

Answer 2

Finding the Angles of the Trapezoid

To find the angles of the trapezoid where the obtuse angle is three times the acute angle, we can use the fact that the sum of all angles in a quadrilateral is 360 degrees.

Let's denote the acute angle as x and the obtuse angle as 3x.

Calculating the Angles

Using the fact that the sum of all angles in a quadrilateral is 360 degrees, we can set up the following equation: x + x + 3x + 3x = 360

Solving for x: 8x = 360 x = 45

So, the acute angle x is 45 degrees, and the obtuse angle 3x is 135 degrees.

Therefore, the angles of the trapezoid are: - Acute angle: 45 degrees - Obtuse angle: 135 degrees