Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 1 - 7 you know the following statement to be true: if two angl…

Question

question 1 - 7 you know the following statement to be true: if two angles form a linear pair, then they are supplementary. which other statement must be true? if two angles are not supplementary, then they do not form a linear pair. if two angles are supplementary, then they form a linear pair. if two angles do not form a linear pair, then they are not supplementary. if two angles are supplementary, then they do not form a linear pair.

Explanation:

Step1: Recall definitions

Linear - pair angles are adjacent and supplementary. Supplementary angles just sum to 180 degrees and don't have to be adjacent.

Step2: Analyze statements

If two angles form a linear - pair, they are supplementary. But if two angles are supplementary, they may not be adjacent (so not a linear - pair). If two angles are not supplementary, they cannot be a linear - pair since linear - pair angles are supplementary. If two angles do not form a linear - pair, they can still be supplementary.

Answer:

If two angles are not supplementary, then they do not form a linear pair.