The difference between the angles lying to one side of the parallelogram is 126 degrees.

| April 4, 2021 | education

The difference between the angles lying to one side of the parallelogram is 126 degrees. Find the smaller angle of the parallelogram.

So, to find the smaller of the angles, we will proceed as follows: 1. Recall the properties of the angles of the parallelogram and 2. Solve the equation.

It is known from the condition that the difference between the angles adjacent to one side of the parallelogram is 126 °.

We know from the properties of the angles of a parallelogram that the sum of the angles of a parallelogram adjacent to one side is 180 °.

We introduce x ° – one angle of the parallelogram, then the second – (x – 126) °.

Let’s make the equation:

x + (x – 126) = 180;

x + x – 126 = 180;

2x = 180 + 126;

2x = 306;

x = 153 ° greater angle and 153 – 126 = 27 ° smaller parallelogram angle.



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