Question

True or False: Angles must be adjacent to be supplementary.

Answer 1

False

Step-by-step explanation:

Angles are supplementary if the sum of their measures is 180 degrees. Adjacent angles share a common vertex and side, but they do not necessarily have to be supplementary. Two angles can be supplementary without being adjacent if their measures add up to 180 degrees.

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Answer 2

Two angles can be supplementary even if they are not adjacent.

Step-by-step explanation:

True

Two angles are said to be supplementary if the sum of their measures is 180 degrees. Angles do not have to be adjacent to be supplementary; they can be anywhere in a figure as long as their measures add up to 180 degrees.

For example, consider the angles A = 60 degrees and B = 120 degrees. Although these angles are not adjacent, their measures add up to 180 degrees, so they are supplementary.