# Through the vertex of the right angle C of the triangle ABC, a straight line CD is drawn, parallel

August 31, 2021 | education

| **Through the vertex of the right angle C of the triangle ABC, a straight line CD is drawn, parallel to the side AB. Find the angles A and B if the angle DCB = 37 degrees.**

Line CB intersects two parallel lines AB and CD and is a secant for them. The angle DCB and the angle ABC are equal to each other, since they are intersecting. The value of the angle DСВ = 37 degrees according to the condition of the problem, therefore the angle ABC = 37 degrees. This is corner B of our triangle.

The angles of any triangle add up to 180 degrees. Our triangle is rectangular, angle C = 90 degrees.

A + B + C = 180,

C = 90, and B = 37

from here we find the value of the angle A

A = 180-90-37

A = 43

Answer: A = 43, B = 37 degrees

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.