One corner of a parallelogram is 2 times its other angle. Find the values of the parallelogram angles.
June 14, 2021 | education
| In order to find the angles of a parallelogram, we will compose and solve an equation.
Let’s look at what we know from the condition. The condition says that one corner of the parallelogram is 2 times larger than the other.
There are two kinds of angles in a parallelogram:
1. opposite – they are equal to each other;
2. one-sided – their sum is 180 °.
In our case, we are talking about one-sided. Let’s denote one of the corners as x, then 2x is the second angle.
x + 2x = 180;
x (1 + 2) = 180;
3x = 180;
x = 180: 3;
x = 60 ° smaller angle and 60 * 2 = 120 ° larger angle.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.