Question

Найти углы параллелограмма, если один из них на 14 градусов больше другого

Answer 1

Пусть первый угол - х, второй - х+14°
составим и решим уравнение:
х+х+14°=180°
2х=166°
х=166°:2
х=83°
83°+14°=97°
Ответ: В параллелограмме 2 угла по 83°, 2 угла по 97°(противоположные углы равны)

Answer 2

Finding the Angles of a Parallelogram

To find the angles of a parallelogram when one angle is 14 degrees larger than the other, we can use the fact that opposite angles in a parallelogram are congruent. This means that if one angle is x degrees, then the opposite angle is also x degrees.

Let's denote the two angles of the parallelogram as x and x + 14. Since the sum of the angles in a parallelogram is 360 degrees, we can set up the following equation:

x + (x + 14) + x + (x + 14) = 360

Simplifying the equation, we get:

4x + 28 = 360

Subtracting 28 from both sides:

4x = 332

Dividing both sides by 4:

x = 83

Therefore, one angle of the parallelogram is 83 degrees, and the other angle is 83 + 14 = 97 degrees.

So, the angles of the parallelogram are 83 degrees and 97 degrees.