Question

Найти все углы параллелограмм если сумма двух из них равна 80 градусов

Answer 1

Сумма всех углов равна 360, пусть один из углов X, другой Y. Тогда нам известно что 
X+Y=80  и 
(X+Y)*2=360. 

то есть получается система уравнений:

X-Y=80                             X=130
X+Y=180                          Y=50

Ответ: один угол 50 градусов, другой 130 градусов

Answer 2

Finding the Angles of a Parallelogram

To find all the angles of a parallelogram when the sum of two of them is equal to 80 degrees, we can use the fact that opposite angles in a parallelogram are congruent. This means that if we know one angle, we can find the measure of its opposite angle by subtracting it from 180 degrees.

Let's assume that one of the angles in the parallelogram is x degrees. Since the sum of two angles is equal to 80 degrees, we can set up the following equation:

x + opposite angle = 80

Since the opposite angle is congruent to x, we can rewrite the equation as:

x + x = 80

Simplifying the equation, we get:

2x = 80

Dividing both sides of the equation by 2, we find:

x = 40

Therefore, one of the angles in the parallelogram is 40 degrees. Since opposite angles in a parallelogram are congruent, the opposite angle is also 40 degrees.

So, the measure of all the angles in the parallelogram is 40 degrees.

Note: The information provided in the search results did not directly answer the question. However, the solution to finding the angles of a parallelogram when the sum of two of them is equal to 80 degrees is a general property of parallelograms.