Question

Одна из углов параллелограмма на 40 градусов больше другого. найдите углы параллелограмма.

Answer 1

40+40=80° так как это полелограм 2 угла равны 180-80=100°÷2=50°

Answer 2

Finding the Angles of a Parallelogram

To find the angles of a parallelogram, we need to know that opposite angles in a parallelogram are congruent. Let's assume that one of the angles in the parallelogram is x degrees. According to the given information, one of the angles is 40 degrees larger than the other.

Let's denote the measure of the other angle as y degrees. Based on the given information, we can set up the following equation:

x = y + 40

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

x + y = 180

Now we have a system of equations that we can solve to find the values of x and y.

Solving the System of Equations

To solve the system of equations, we can use substitution or elimination. Let's use substitution to find the values of x and y.

From the first equation, we can express y in terms of x:

y = x - 40

Substituting this expression for y into the second equation, we get:

x + (x - 40) = 180

Simplifying the equation:

2x - 40 = 180

Adding 40 to both sides:

2x = 220

Dividing both sides by 2:

x = 110

Now that we have the value of x, we can substitute it back into the first equation to find y:

y = 110 - 40 = 70

Therefore, the angles of the parallelogram are 110 degrees and 70 degrees.

Answer

The angles of the parallelogram are 110 degrees and 70 degrees.