Question

Один из углов параллелограмма на 50градусав меньше другого.Найдите все углы.

Answer 1

Пусть х меньший угол тогда больший угол х+50 сумма углов равна 360 составим уравнение
х+х+х+50+х+50=360
4х+100=360
4х=360-100
х=260:4
х=60°30'
тогда больший угол-60°30'+50=110°30'

Answer 2

Finding the angles of a parallelogram

To find the angles of a parallelogram when one angle is 50 degrees smaller than the other, we can use the fact that opposite angles in a parallelogram are equal.

Let's assume that one angle of the parallelogram is x degrees. According to the given information, the other angle will be x + 50 degrees.

Since opposite angles in a parallelogram are equal, we can set up the following equation:

x + (x + 50) = 180

Simplifying the equation, we get:

2x + 50 = 180

Subtracting 50 from both sides:

2x = 130

Dividing both sides by 2:

x = 65

Therefore, one angle of the parallelogram is 65 degrees, and the other angle is 65 + 50 = 115 degrees.

So, the angles of the parallelogram are 65 degrees, 115 degrees, 65 degrees, and 115 degrees.

Answer:

The angles of the parallelogram are 65 degrees, 115 degrees, 65 degrees, and 115 degrees.