Question

Луч проведённый из вершины прямого угла делит его на два угла так что велИчина одного угла в два раза больше величины другого определите величину каждого из этих углов. РЕШИТЕ ПОЖАЛУЙСТА ПО ДЕЙСТВИЯМ

Answer 1

Прямой угол равен 90°. Луч делит угол на два угла, сумма которых равна 90°. Пусть меньший угол равен х°, тогда второй будет 2х°.
Составим уравнение:
х+2х=90
3х=90
х=30
меньший угол равен 30°, тогда второй будет 2·30°=60°.

Answer 2

Problem Analysis

We are given that a line drawn from the vertex of a right angle divides it into two angles, with one angle being twice the size of the other. We need to determine the measure of each of these angles.

Solution

Let's assume that the measure of the smaller angle is x degrees. According to the given information, the measure of the larger angle is twice the size of the smaller angle, so it would be 2x degrees.

Since the sum of the measures of the two angles in a right angle is 90 degrees, we can set up the following equation:

x + 2x = 90

Simplifying the equation, we have:

3x = 90

Dividing both sides of the equation by 3, we get:

x = 30

Therefore, the measure of the smaller angle is 30 degrees, and the measure of the larger angle is twice that, which is 60 degrees.

Answer

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