Question

Знайдіть суміжні кути якщо їх градусні міри відносяться як 3:7

Answer 1

Якщо суміжні кути відносятся як 3:7.То маємо рівняння.
3х·7х=180°
10х=180°
х=18
Тепер підставляємо.
3·18=54°(перший кут)
7·18=126°(другий кут)

Answer 2

Finding the Measures of Adjacent Angles

To find the measures of adjacent angles when their degree ratios are given, we can use the concept of proportionality.

Let's assume that the measure of one angle is represented by 3x and the measure of the other angle is represented by 7x, where x is a constant.

According to the given information, the degree ratios of the two angles are in the ratio of 3:7.

To find the value of x, we can set up the following proportion:

3x / 7x = 3 / 7

Now, we can solve this proportion to find the value of x.

Cross-multiplying, we get:

3x * 7 = 7x * 3

Simplifying, we have:

21x = 21x

This equation shows that the value of x can be any real number. Therefore, we cannot determine the exact measures of the angles without additional information.

In conclusion, without more specific information, we cannot find the measures of the adjacent angles when their degree ratios are given as 3:7.