# The diagonal of the rectangle forms 40 degrees on one of the sides. Find the angles formed

September 15, 2021 | education

| **The diagonal of the rectangle forms 40 degrees on one of the sides. Find the angles formed by the intersection of the diagonals.**

Since the diagonals in the rectangle are equal and at the point of intersection, they are divided in half, then ОА = ОD = OC = ОВ, which means that the triangles AOD, DOC, BOC, AOB are equilateral. The angle ADO = DAO = 40. Then the angle AOD = 180 – 40 – 40 = 100. The angle AOD and AOB are adjacent angles, the sum of which is 180, then the angle AOB = 180 – 100 = 80.

Angle BOC = AOB = 100, angle COD = AOB = 80 as vertical angles.

Answer: The angles formed at the intersection of the diagonals are 100 and 80.

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.