Question

Круг разделили на три сектора, так что два 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

Х-сектор
х+х+2х=360
х=90
2х=90*2=180
Ответ: 90°,90°,180°.

Answer 2

Problem Analysis

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

Solution

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

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

x + x + 2x = 360

Simplifying the equation, we have:

4x = 360

Dividing both sides of the equation by 4, we find:

x = 90

Therefore, each of the two equal angles measures 90 degrees, and the angle of the third sector measures twice that, which is 180 degrees.

Answer

The two equal angles in the sectors of the circle each measure 90 degrees, and the angle of the third sector measures 180 degrees.