Question

При пересечении двух прямых образовались четыре угла.Определите величины этих углов, если один из них в 5 раз больше другого. Только не уравнением. спасибо

Answer 1

Суммы смежных углов 180 градусов;
один угол - 1 часть;
другой угол - 5 частей;
всего 5+1=6 частей;
180/6=30 градусов - один угол;
30*5= 150 градусов другой угол;
вертикальные углы равны.

Answer 2

X+5x=180 
6x=180 
x=30; х1=30°,х2=150°,х3=30°,х4=150°

Answer 3

Finding the Angle Measurements

To determine the angle measurements formed by the intersection of two lines, we need to consider that one of the angles is five times larger than the other.

Let's denote the smaller angle as x. According to the given information, the larger angle is 5x.

Since the sum of the angles formed by the intersection of two lines is 180 degrees, we can set up the following equation:

x + 5x = 180

Simplifying the equation, we get:

6x = 180

Dividing both sides of the equation by 6, we find:

x = 30

Therefore, the smaller angle (x) measures 30 degrees, and the larger angle (5x) measures 150 degrees.

So, the angle measurements formed by the intersection of the two lines are 30 degrees and 150 degrees.

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