Question

Луч проведённый из вершины прямого угла делит его на два угла так что величина одного угла в два раза больше величины другого .опредилите величену каждого из этих углов.решите пожалуйста по действиям

Answer 1

Прямой угол равен 90°
Пусть 1 угол = х
Тогда второй (в 2 раза больше) = 2х
1)2х + х = 90
3х = 90
х = 90 ÷ 3
х = 30

2)Следовательно 2х = 2 × 30 = 60

Ответ: 30° и 60°
 

Answer 2

В два раза больше это 2/3, значит 90:3 =30(градусов) велечина 1 угла 
естествено 90-30=60.
Ответ:30 и 60. 

Answer 3

Solving for the Angles in a Right Angle

To solve for the angles in a right angle where the larger angle is twice the size of the smaller angle, we can use the following steps:

1. Define the smaller angle as x: Let's assume the smaller angle in the right angle is represented by x.

2. Express the larger angle in terms of x: Since the larger angle is twice the size of the smaller angle, we can express the larger angle as 2x.

3. Set up the equation: The sum of the two angles in a right angle is 90 degrees. Therefore, we can set up the equation: x + 2x = 90.

4. Solve for x: By solving the equation, we can find the value of x, which represents the smaller angle.

Calculation

Let's solve the equation x + 2x = 90 to find the values of the angles.

x + 2x = 90 3x = 90 x = 30

Results

The smaller angle is 30 degrees, and the larger angle is 60 degrees.

This means that the smaller angle is one-third of the right angle, and the larger angle is two-thirds of the right angle.

This solution satisfies the condition that the larger angle is twice the size of the smaller angle.

I hope this helps! If you have further questions or need additional assistance, feel free to ask.