Question

Найти углы параллелограмма ,если сумма двух его углов равна 186 градусов

Answer 1

A=C, B=D, значит A+C= 186, или A + A = 186, 2A= 186, A=93
с другой стороны A + B=180, тогда B= 180 - A =180 - 93 =87 

Answer 2

Finding the Angles of a Parallelogram

To find the angles of a parallelogram when the sum of two of its angles is 186 degrees, we can use the fact that opposite angles in a parallelogram are equal. Let's denote the angles of the parallelogram as A, B, C, and D. Given that the sum of two angles is 186 degrees, we can express this as an equation:

A + B = 186 (1)

Since opposite angles in a parallelogram are equal, we also have:

A = C (2) B = D (3)

We can use these relationships to find the values of the angles.

Solving for the Angles

Using equation (1) and the relationships (2) and (3), we can solve for the angles of the parallelogram.

Let's start by finding the value of one of the angles, for example, angle A:

A + B = 186 (1) A = C (2)

Substituting (2) into (1), we get:

C + B = 186

Since B = D, we can rewrite the equation as:

C + D = 186

Now, we know that the sum of all angles in a parallelogram is 360 degrees. Therefore, we can express the sum of all angles as:

A + B + C + D = 360

Substituting the given information, we get:

A + B + A + B = 360 2A + 2B = 360 A + B = 180

Comparing this with the given sum of two angles (186 degrees), we can see that the sum of two angles in a parallelogram is always 180 degrees. This means that the given information contradicts the properties of a parallelogram. Therefore, the provided sum of two angles (186 degrees) does not correspond to the properties of a parallelogram.

In conclusion, the sum of two angles of a parallelogram cannot be 186 degrees, as it contradicts the properties of a parallelogram.

If you have any further questions or need clarification on any point, feel free to ask!