Question

Сумма трех углов параллелограмма равна 254 градуса.Найдите углы параллелограмма.

Answer 1

Так как в четырёхугольнике сумма всех углов равна 360 
360-254=106 (Мы нашли один угол)
Т.к у параллелограмма противоположные углы равны => второй угол =
106 градусов
Чтобы найти вторые два угла нужно сложить первые два и вычесть из 360
106+106=212(Сумма первых двух углов)
360-212=148(Сумма вторых углов)
148:2=74 (третий и четвертый угол)
Ответ : Угол 1= 106,Угол 2= 106
,Угол 3= 74, Угол4=74.

Answer 2

Calculation of the Angles of a Parallelogram

To find the angles of a parallelogram when the sum of three angles is given as 254 degrees, we can use the fact that opposite angles in a parallelogram are congruent. This means that if we find one angle, we can determine the measure of all the other angles.

Let's denote the angles of the parallelogram as A, B, C, and D. The sum of the three angles is given as 254 degrees, so we have:

A + B + C = 254 degrees ---(1)

Since opposite angles in a parallelogram are congruent, we can say that:

A = C ---(2)

Using equation (2), we can rewrite equation (1) as:

A + B + A = 254 degrees

2A + B = 254 degrees ---(3)

Now, let's refer to the search results for additional information to help us solve the equation.

According to the sum of the angles of a parallelogram is 360 degrees. Therefore, we can subtract the sum of the given angles (254 degrees) from 360 degrees to find the measure of the fourth angle:

360 - 254 = 106 degrees

So, angle D is equal to 106 degrees.

Now, let's substitute this value into equation (3) to find the measure of angles A and B:

2A + B = 254 degrees

2A + 106 = 254 degrees

2A = 254 - 106

2A = 148

A = 148 / 2

A = 74 degrees

Therefore, angle A is equal to 74 degrees.

Since opposite angles in a parallelogram are congruent, we can conclude that angle C is also equal to 74 degrees.

To summarize, the angles of the parallelogram are as follows: - Angle A = 74 degrees - Angle B = To be determined - Angle C = 74 degrees - Angle D = 106 degrees

Please note that the value of angle B has not been determined based on the available information.