Question

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

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles are two angles whose sum is \(180^{\circ}\). A straight - angle has a measure of \(180^{\circ}\).

Step2: Analyze \(\angle1\) and \(\angle2\)

\(\angle1\) and \(\angle2\) combine to form a straight - angle. By the definition of supplementary angles (since the sum of angles forming a straight - angle is \(180^{\circ}\)), \(\angle1+\angle2 = 180^{\circ}\).

Step3: Analyze the statement about \(\angle1\) and \(\angle7\)

Just because two angles are on the same side of a transversal does not mean they are supplementary. There is no geometric rule that states that angles on the same side of a transversal (in a general non - parallel line case) are supplementary.

Answer:

Yes. \(\angle1\) and \(\angle2\) combine to form a straight angle with a measure of \(180^{\circ}\).