Question

Внутренние углы треугольника ABC относятся как 3 к 5 к 7.Найдите углы Треугольника ABC.Найдите внешние углы.Помогите пж

Answer 1

3х+5х+7х=180°
15х= 180°
х=180°/15
х=12
значит внешний угол А=324°
В=300°
С=276°

Answer 2

Finding the angles of triangle ABC

To find the angles of triangle ABC, we can use the given ratio of the internal angles. Let's assume that the ratio of the angles is 3:5:7.

Let the angles of triangle ABC be represented by x, y, and z, respectively.

According to the given ratio, we can set up the following equation:

3x : 5y : 7z

To solve for the angles, we need to find the value of x, y, and z.

Since the sum of the internal angles of a triangle is always 180 degrees, we can set up the equation:

3x + 5y + 7z = 180

Now, we have one equation with three variables. To solve this, we need more information or additional equations.

Unfortunately, the given information is not sufficient to determine the exact values of the angles of triangle ABC.

Finding the external angles of triangle ABC

The external angles of a triangle are supplementary to the internal angles. In other words, the sum of an internal angle and its corresponding external angle is always 180 degrees.

Let's assume that the external angles of triangle ABC are represented by X, Y, and Z, respectively.

The external angle X is supplementary to the internal angle x, so we have:

X = 180 - x

Similarly, the external angle Y is supplementary to the internal angle y, so we have:

Y = 180 - y

And the external angle Z is supplementary to the internal angle z, so we have:

Z = 180 - z

Therefore, the external angles of triangle ABC can be calculated by subtracting the corresponding internal angles from 180 degrees.

Please note that without the exact values of the internal angles, we cannot determine the exact values of the external angles.

If you have any additional information or if there's anything else I can help you with, please let me know!