Question

Прямий кут поділений внутрішнім променем на 2 кути один з яких на 40° менший за інший ​

Answer 1

Ответ:

25градусів и 65градусів

Пошаговое объяснение:

перший кут=х

другий кут=х+40

х+х+40=90(градусів)(так як кут прямий)

2х+40=90

2х=90-40=50

х=50:2=25

перший кут=25градусів

другий кут=25+40=65

Answer 2

Calculation of the Angles

To solve this problem, we need to find the measure of the two angles when a straight angle is divided by an internal ray into two angles, one of which is 40° smaller than the other.

Let's assume the larger angle is represented by x. According to the problem, the smaller angle is 40° less than the larger angle. Therefore, the measure of the smaller angle can be represented as x - 40°.

Since the sum of the two angles formed by a straight angle is 180°, we can set up the following equation:

x + (x - 40°) = 180°

Now, let's solve this equation to find the value of x.

Solving the Equation

Combining like terms, we have:

2x - 40° = 180°

Adding 40° to both sides of the equation, we get:

2x = 220°

Dividing both sides of the equation by 2, we find:

x = 110°

Therefore, the larger angle (x) is 110°, and the smaller angle (x - 40°) is 70°.

Conclusion

In conclusion, when a straight angle is divided by an internal ray into two angles, one of which is 40° smaller than the other, the larger angle measures 110° and the smaller angle measures 70°.