Question

Один из углов образованных при пересечении двух прямых на 40 градусов больше другого найти эти углы

Answer 1

Х- 1 угол, х+40 -2 й угол, вместе составляют развернутый угол, получим х+х+49=180; 2х=140; х=70° первый угол, 70°+40°=110° -второй

Answer 2

Finding the Angles Formed by the Intersection of Two Lines

To find the angles formed by the intersection of two lines, one of which is 40 degrees larger than the other, we can use the fact that the sum of the angles formed by two intersecting lines is always 180 degrees.

Let's denote the smaller angle as x. According to the given information, the larger angle is 40 degrees more than the smaller angle, so we can represent it as x + 40.

Using the fact that the sum of the angles formed by two intersecting lines is 180 degrees, we can set up the following equation:

x + (x + 40) = 180

Simplifying the equation, we have:

2x + 40 = 180

Subtracting 40 from both sides of the equation:

2x = 140

Dividing both sides of the equation by 2:

x = 70

Therefore, the smaller angle (x) is 70 degrees, and the larger angle (x + 40) is 110 degrees.

So, the angles formed by the intersection of the two lines are 70 degrees and 110 degrees.