Question

Круг разделен на три сектора угол первого в 2 раза больше чем угол второго и в 3 раза меньше чем угол третьего вычислите угол каждого сектора в отдельности

Answer 1

3х+2х+х=360 6х=360 х=360:6 х=60-второй сектор 60•2=120-первый сектор 60•3=180-третий сектор

Answer 2

Calculation of the Angles in Each Sector

To calculate the angles in each sector, let's assign variables to the angles. Let: - Angle of the first sector be x - Angle of the second sector be y - Angle of the third sector be z

According to the given information, we have the following relationships: - The angle of the first sector is twice the angle of the second sector: x = 2y - The angle of the first sector is one-third the angle of the third sector: x = (1/3)z

To find the values of x, y, and z, we can solve these equations simultaneously.

Substituting x = 2y into x = (1/3)z, we get: 2y = (1/3)z

Simplifying the equation, we have: 6y = z

Now, we have two equations: 1. x = 2y 2. 6y = z

To solve these equations, we can choose any value for y and then calculate x and z based on that.

Let's assume y = 30 degrees.

Using equation 1, we can find x: x = 2y = 2 * 30 = 60 degrees

Using equation 2, we can find z: z = 6y = 6 * 30 = 180 degrees

Therefore, the angles in each sector are: - Angle of the first sector (x) = 60 degrees - Angle of the second sector (y) = 30 degrees - Angle of the third sector (z) = 180 degrees

Please note that these values are based on the assumption that y = 30 degrees. If you choose a different value for y, the angles will change accordingly.

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