One of the angles of the parallelogram is 75 degrees. Find the other angles.
| June 11, 2021 | education
In order to find the angles of a parallelogram, we will recall the properties of the angles of a parallelogram.
But first, consider the condition of the problem. It says that one of the angles of the parallelogram is 75 °.
So, the opposite angles of the parallelogram are equal to each other, we conclude that we already know one pair of angles and it is equal to 75 °.
It is also known that the sum of the angles adjacent to one side is 180 °.
Let’s calculate the degree measure of one more angle: 180 – 75 = 105 °.
The opposite angle is 105 °.
Answer: 75 °; 105 °; 105 °.
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