Question

Знайдіть кути паралелограма якщо вони відносяться як 5:7​

Answer 1

это углы, прилежащие к одной стороне - их сумма 180°, один угол 5х,  другой 7х, где х- коэф. пропорциональности.

5х+7х=180

12х=180; х=180/12; х=15, значит,  два угла по 5*15°=75°( это противоположные углы, они равны), а два других по 180°-75°=105°

Ответ 105°;105°;75°;75°

Answer 2

Finding the Angles of a Parallelogram

To find the angles of a parallelogram when the ratio between them is given, we need to use the fact that opposite angles in a parallelogram are congruent. Let's assume that the measure of one angle is 5x and the measure of the other angle is 7x.

According to the given ratio, we have:

5x : 7x

To find the value of x, we can set up an equation:

5x + 7x = 180° (since the sum of the angles in a parallelogram is 180°)

Combining like terms, we get:

12x = 180°

Dividing both sides by 12, we find:

x = 15°

Now that we know the value of x, we can find the measures of the angles:

Angle 1 = 5x = 5 * 15° = 75°

Angle 2 = 7x = 7 * 15° = 105°

Therefore, the angles of the parallelogram are 75° and 105°.

Please note that the sources provided did not contain specific information about finding the angles of a parallelogram given a ratio. The solution provided is based on the mathematical properties of parallelograms and the given ratio.