Question

Углы выпускного четырехугольника относятся как 2:5:8:9. Найдите меньший угол. Ответ дайте в градусах

Answer 1

Сумма углов в четырёхугольнике равна 360°
2x+5x+8x+9x=360°
24x=360°
x=15°
Найдём меньший угол
2х=2*15=30°
Ответ: 30°.

Answer 2

Finding the Smallest Angle in a Quadrilateral

To find the smallest angle in a quadrilateral, we need to know the ratios of the angles. In this case, the ratios are given as 2:5:8:9. Let's calculate the smallest angle using these ratios.

Let's assume the angles in the quadrilateral are represented by the variables A, B, C, and D, respectively. According to the given ratios, we have:

A:B:C:D = 2:5:8:9

To find the smallest angle, we need to determine the value of the smallest ratio. In this case, the smallest ratio is 2.

Let's assign a value to the smallest ratio. We can choose any value that is a multiple of 2. For simplicity, let's assume the smallest ratio is 2 degrees.

Now, we can calculate the values of the other angles using the given ratios:

A = 2 * 2 = 4 degrees B = 5 * 2 = 10 degrees C = 8 * 2 = 16 degrees D = 9 * 2 = 18 degrees

Therefore, the smallest angle in the quadrilateral is 4 degrees.

Please note that the values of the angles are calculated based on the assumption that the smallest ratio is 2 degrees. If the smallest ratio is given in a different unit or if the assumption is different, the values of the angles will change accordingly.

I hope this helps! Let me know if you have any further questions.