Calculate the radian measures of the angles of a parallelogram if the angles adjacent to one side
July 31, 2021 | education|
Calculate the radian measures of the angles of a parallelogram if the angles adjacent to one side of it are proportional to the numbers 2 and 5.
We use the property of the sum of the angles of the AVSD parallelogram:
<A + <B = 180 = pi (in radian measure). (one)
We write down the ratio of the angles according to the condition of the problem: A / <B <= 2/5, or 5 * <A = 2 * <B, we express one angle through the other, we get:
<A = (2/5) * (<B) = 0.4 * (<B). Substituting this ratio into equation (1), we get:
0.4 * (<B) + (<B) = pi; 1.4 * (<B) = pi; (<B) = pi / 1.4 = 5 pi / 7;
<A = pi – 5 pi / 7 = 2 pi / 7.
Let’s check: A / <B <= 2/5; (2 pi / 7): (5 pi / 7) = 2/5.
Answer: <A = 2 pi / 7; <B = 5 pi / 7.
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.