BD is the bisector of angle D of trapezoid ABCD (AD \\ BC) and BD is perpendicular to AB
| May 5, 2021 | education
BD is the bisector of angle D of trapezoid ABCD (AD \\ BC) and BD is perpendicular to AB, angle A = 60 degrees. calculate the angles of the trapezoid.
Triangle ABD is rectangular, since, according to the condition, BD is perpendicular to AB, then the angle ADB = 180 – 90 – 60 = 30.
Since BD is the bisector of the ADC angle, the ADC angle = 2 * ADB = 2 * 30 = 60.
The sum of the angles of the trapezoid at its lateral side is 180, then the angle ABC = 180 – 60 = 120, DCB = 180 – 60 = 120.
Answer: The angles of the trapezoid are 60, 120, 120, 60.
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.
