Question

нАЙДИТЕ ВСЕ УГЛЫ ПАРАЛЕЛОГРАМА ЕСЛИ СУММА ДВУХ ОДИНАКОВЫХ ИЗ НИХ 160 ГРАДУСОВ ПОЖАЛУСТА ПОМОГИТЕ И Я ПООГУ

Answer 1

Сумма углов параллелограма равна 360 градусов и противопложные углы одинаковые

360-160=200 градусов - сумма двух других углов

160/2=80 град

200/2=100 град

2 угла по 80 град, 2 - по 100 град

Answer 2

1) учитывая, что у параллелограмма противоположные углы равны, то имеем:

160/2=80 (градусов) острые углы.

2) Так как сумма односторонних углов параллелограмма равна 180, то тупые углы равны по 180-80=100 градусов.

Углы параллелограмма: 80; 100; 80; 100

Answer 3

Finding the Angles of a Parallelogram

To find all the angles of a parallelogram, we need to know the measure of at least one angle. In this case, we are given that the sum of two of the angles is 160 degrees. Let's denote the measure of one of these angles as x.

Since opposite angles in a parallelogram are congruent, the other angle with the same measure as x is also 160 degrees.

Now, let's find the measures of the remaining two angles.

Calculation

In a parallelogram, the sum of the measures of adjacent angles is always 180 degrees. Therefore, the sum of the measures of the remaining two angles is also 180 degrees.

Let's denote one of these angles as y. The other angle will also have the same measure as y.

We can set up the following equation:

x + x + y + y = 180

Simplifying the equation, we get:

2x + 2y = 180

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

x + y = 90

Since we know that x = 160, we can substitute this value into the equation:

160 + y = 90

Solving for y, we subtract 160 from both sides:

y = 90 - 160 = -70

However, angles cannot have negative measures. Therefore, there is no solution for this case.

Conclusion

Based on the given information that the sum of two angles is 160 degrees, we can conclude that there is no solution for finding all the angles of the parallelogram.