Question

Сумма трех углов,образовавшихся при пересечении двух прямых,на 280 больше четвертого угла. Найдите эти четыре угла. Полное оформление пожалуйста (приблизительно ответ знаю, не могу записать)

Answer 1

360-280=80
другой угол тоже 80, так как вертикальные
360-(80+80)=200 сумма двух других
они тоже вертикальные поэтому 200/2= 100 

Answer 2

Problem Analysis

The problem states that the sum of three angles formed by the intersection of two straight lines is 280 degrees more than the fourth angle. We need to find the values of these four angles.

Solution

Let's denote the four angles as A, B, C, and D. According to the problem, the sum of angles A, B, and C is 280 degrees more than angle D.

We can set up the following equation based on the given information:

A + B + C = D + 280 However, we need more information to solve this equation. We can make use of the fact that the sum of angles formed by the intersection of two straight lines is always 360 degrees. Therefore, we can write the following equation:

A + B + C + D = 360 Now we have a system of two equations with two unknowns (A, B, C, and D). We can solve this system of equations to find the values of the angles.

To solve the system of equations, we can substitute equation into equation:

(D + 280) + D = 360

Simplifying the equation:

2D + 280 = 360

Subtracting 280 from both sides:

2D = 80

Dividing both sides by 2:

D = 40

Now that we have the value of angle D, we can substitute it back into equation to find the sum of angles A, B, and C:

A + B + C = 40 + 280

Simplifying the equation:

A + B + C = 320

Therefore, the sum of angles A, B, and C is 320 degrees.

To find the values of angles A, B, and C, we need more information. Unfortunately, the given problem does not provide any additional information or constraints. Therefore, we cannot determine the specific values of angles A, B, and C without more context.

In summary, based on the given information, we know that angle D is 40 degrees and the sum of angles A, B, and C is 320 degrees. However, we cannot determine the specific values of angles A, B, and C without more information.

Please let me know if there is anything else I can help you with!