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

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.

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