The sum of the angles is 178 degrees Prove that these angles cannot be adjacent

univerkov | September 30, 2021 | education

Given:

angle A,

angle B,

angle A + angle B = 178 degrees,

Prove that angle A and angle B are not adjacent.

Proof:

Adjacent angles are angles that have one side in common and the other two lie on opposite rays.

We know that the sum of the degree measures of adjacent angles is 180 degrees. By the condition of the problem, the sum of these angles is 178 degrees. Therefore, angle A and angle B are not adjacent. Q.E.D.

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.