Question

Круг разделили на 3 сектора так,что 2 сектора имеют равные углы,а угол третьего сектора в 2 раза больше каждого из них.Сколько градусов содержат углы этих секторов? Какие углы получатся?

Answer 1

2х+2х=360
4х=360
х=90
1 угол -90 градусов
2 угол =90 градусов
3 угол=360-180=180 градусов

Answer 2

Пусть хградусов-меньший сектор, тогда больший сектор - 2х градусов
Круг составляет 360 градусов, тогда получаем уравнение:
х+х+2х=360
4х=360
х=90градусов-меньший сектор
2×90=180градусов - больший сектор
получается 2 прямых угла и 1 развернутый

Answer 3

Problem Analysis

We are given a circle divided into 3 sectors, with 2 sectors having equal angles and the angle of the third sector being twice as large as each of the other two sectors. We need to find the measure of the angles of these sectors.

Solution

Let's assume that the measure of each angle in the two equal sectors is x degrees. According to the problem, the angle of the third sector is twice as large as each of the other two sectors. Therefore, the angle of the third sector is 2x degrees.

Since the sum of the angles in a circle is always 360 degrees, we can set up the following equation to solve for x:

x + x + 2x = 360

Simplifying the equation:

4x = 360

Dividing both sides of the equation by 4:

x = 90

Therefore, each angle in the two equal sectors is 90 degrees, and the angle of the third sector is twice as large, which is 180 degrees.

Answer

The angles of the three sectors are as follows: - The two equal sectors have angles of 90 degrees each. - The third sector has an angle of 180 degrees.

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