Question

which of the following statements is always true? 4 and 5 are supplementary 2 and 7 are supplementary 3 and 5 are supplementary 1 and 4 are supplementary question 6

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees. When two parallel lines are cut by a transversal, same - side interior angles are supplementary.

Step2: Identify same - side interior angles

In the given figure of two parallel lines cut by a transversal, angles 3 and 5 are same - side interior angles. So, $\angle3+\angle5 = 180^{\circ}$, which means they are supplementary.

Answer:

3 and 5 are supplementary