The diagonal BD of parallelogram ABCD makes angles of 65 ° and 50 ° with its sides.
| July 6, 2021 | education
The diagonal BD of parallelogram ABCD makes angles of 65 ° and 50 ° with its sides. Find the smaller angle of the parallelogram.
To solve it, draw a parallelogram ABCD, in which we draw a diagonal AC.
So, according to the condition, the diagonal of the larger angle turns out to form angles with its sides equal to 50 ° and 65 °, then this whole angle is equal to 65 + 50 = 115 °.
Since the lesser and greater angles of the parallelogram are equal to 180 ° in total, the lesser angle is equal to: 180 – 115 = 65 °.
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.
