Find the angles of a parallelogram if one angle is 17 times greater than the other.
May 19, 2021 | education
| 1. Let’s denote the degree measure of the smaller angle of the parallelogram through x.
2. Define the degree measure of the greater angle of the parallelogram:
17 * x = 17x.
3. Using the property of the angles of the parallelogram, compose and solve the equation:
17x + x = 180˚;
18x = 180˚;
x = 180˚: 18;
x = 10˚.
4. The degree measure of the smaller angle of the parallelogram is x = 10˚.
5. What is the degree measure of the greater angle of the parallelogram?
17 * x = 17 * 10˚ = 170˚.
Answer: the angles of the parallelogram are 110˚, 10˚, 110˚, 10˚.
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.