Question

Mia says that two adjacent angles are supplementary and drew the figure on the left.

Ethan says that adjacent angles are not supplementary and drew the figure on the right.
Who is correct?
Explain your answer.​

Answer 1

Ethan

Explanation:

• Supplementary angles are angles which add up to 180 degrees.
• Two or more angles are Adjacent when they have a common side and a common vertex.

In the scenario presented, Ethan is right to say that adjacent angles are not supplementary. This is as a result of the fact that no other condition was attached.

Adjacent angles are only supplementary "if they are all on a straight line" as in Mia's case. This is a special case and an extra condition has been imposed.