The difference between the angles adjacent to one side of the parallelogram is 36. Find the angles of the parallelogram.
| March 8, 2021 | education
By the property of a parallelogram, the sum of the adjacent angles of a parallelogram is 180.
Let the value of the angle BAC = X0, then, by condition, the angle ABC = (X + 36) 0.
The sum of the angles ABC + BAC = 180.
(X + 36) + X = 180.
2 * X = 180 – 36 = 144.
X = 72.
Angle BAC = BCD = 72.
Ugo ABC = ADC = 72 + 36 = 108.
Answer: The angles of the parallelogram are 72 and 108.
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.
