Question

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without using a protractor, can you tell if any of the angles are supplementary? choose the best explanation.
yes. ∠1 and ∠7 are on the same side of the transversal, so they must be supplementary.
no. there is no way to tell if any angles are supplementary.
yes. ∠1 and ∠2 combine to form a straight angle with a measure of 180°.

Explanation:

Supplementary angles add up to 180°. Adjacent angles that form a straight - line are supplementary. ∠1 and ∠2 are adjacent and form a straight angle (180°). Just being on the same side of a transversal does not make angles supplementary. Without more information about parallel lines etc., we can't assume other pairs are supplementary.

Answer:

Yes. ∠1 and ∠2 combine to form a straight angle with a measure of 180°.