Question

Пожалуйста помогите. Один угол параллелограмма в пять раз больше, чем другой. найти все углы.

Answer 1

Пусть х меньший угол тогда больший 5х сумма углов 360
составим уравнение
х+х+5х+5х=360
12х=360
х=360:12
х=30
30° меньшие два угла т.к. в прллгр. противоположные углов равны. Тогда большие углов равны 30*5=150°
ответ:150°;30°

Answer 2

Parallelogram Angle Calculation

To find all the angles of a parallelogram, we need to know the relationship between the angles. In this case, we are given that one angle of the parallelogram is five times larger than the other angle. Let's denote the smaller angle as x and the larger angle as 5x.

The sum of the interior angles of a parallelogram is always 360 degrees. Since a parallelogram has opposite angles that are congruent, we can set up the following equation:

x + 5x + x + 5x = 360

Simplifying the equation, we get:

12x = 360

Dividing both sides of the equation by 12, we find:

x = 30

Now, we can substitute this value back into the equation to find the measure of the angles:

x = 30 degrees

5x = 5 * 30 = 150 degrees

Therefore, the angles of the parallelogram are:

x = 30 degrees

5x = 150 degrees

So, one angle of the parallelogram measures 30 degrees, while the other angle measures 150 degrees.