Question

Один из углов параллелограма на 40 градусов больше другого.Найдите углы параллелограмма.

Answer 1

Х+(х+40)=180
2х=140
х=70 - один угол
70+40=110 - второй угол 
а так как у параллелограма противоположные углы равны, то два угла по 70, остальные два по 110

Answer 2

Finding the Angles of a Parallelogram

To find the angles of a parallelogram when one angle is 40 degrees more than the other, we can use the fact that opposite angles in a parallelogram are equal. Let's denote the smaller angle as x and the larger angle as x + 40.

Using the property that the sum of the interior angles of a parallelogram is 360 degrees, we can set up the following equation:

x + (x + 40) = 360

Solving for x will give us the measure of the smaller angle, and then we can find the measure of the larger angle by adding 40 to it.

Calculation

Using the equation x + (x + 40) = 360: - 2x + 40 = 360 - 2x = 320 - x = 160

So, the measure of the smaller angle x is 160 degrees, and the measure of the larger angle x + 40 is 200 degrees.

Therefore, the angles of the parallelogram are 160 degrees and 200 degrees.

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