Given: ABCD parallelogram; angle BCA = 20 degrees, angle BAC = 30 degrees Find the angles of parallelogram ABCD.
| September 12, 2021 | education
In a parallelogram, opposite sides are parallel.
Then the angle BCA = CAD = 20 as criss-crossing angles at the intersection of parallel straight lines AD and BC secant AC.
Then the angle BAD = BAC + CAD = 30 + 20 = 50.
In a parallelogram, the sum of adjacent angles is 180, then the angle ABC = (180 – 50) = 130.
A parallelogram has equal opposite angles.
Angle ADC = ABC = 130, angle BCD = ABC = 50.
Answer: The angles of the parallelogram are 50 and 130.
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.
