Question

При пересечении двух прямых данных прямых секущей образовались односторонние углы один из которых равен 150 градусов а другой в пять раз меньше доказать что прямые паралельны

Answer 1

При пересечении 2 паралленьных прямых секущей, односторонние углы в сумме дают 180 градусов.

меньший угол равен 150/5=30 градусов

150+30 = 180 

Answer 2

1)2 угол=150:5=30 градусов

2)Сумма односторонних углов 1 и 2 150+30=180 поэтому из теоремы о односторонних углах прямые параллельны 

Answer 3

Given Information:

We are given that two straight lines intersect, forming one obtuse angle measuring 150 degrees and another angle that is five times smaller than the first angle.

Proof:

To prove that the two lines are parallel, we need to show that the sum of the angles formed on the same side of the transversal is 180 degrees.

Let's assume that the two intersecting lines are line A and line B. The obtuse angle formed by the intersection of line A and line B is 150 degrees. The other angle, which is five times smaller, measures 150/5 = 30 degrees.

Now, let's consider the angles formed on the same side of the transversal. We have the obtuse angle of 150 degrees and the smaller angle of 30 degrees.

According to the property of parallel lines, the sum of the angles on the same side of the transversal is always 180 degrees. Therefore, if the sum of the obtuse angle and the smaller angle is equal to 180 degrees, the lines are parallel.

Let's calculate the sum of the angles: 150 degrees + 30 degrees = 180 degrees.

The sum of the angles is indeed 180 degrees, which proves that the lines are parallel.

Therefore, we have successfully demonstrated that the given lines are parallel.

Note: It is important to note that without additional information about the lines or the context of the problem, this proof assumes that the lines are not perpendicular or coincident.

Conclusion:

Based on the given information and the proof provided, we can conclude that the two lines are parallel.