Explain why all linear angle pairs must be supplementary, but all supplementary angles do not have to be linear pairs?

Question

Mathematics

Tyrell Wilkerson

24 December, 04:09

Explain why all linear angle pairs must be supplementary, but all supplementary angles do not have to be linear pairs?

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Bridger Wilkins · Answer 1

Two angles are supplementary if their measures sum 180°.

Linear angle pairs are adjacent angles (they are together) and they form a straight angle, which is 180°. Therefore, they are supplementary.

But two angles may be separated and yet add 180°, then they are supplementary but are not linear angle pairs.