Question

complete the equations to make them true. move the correct answer to each box. not all answers will be used. 60 90 120 180

Explanation:

1. Recall the properties of parallel - lines and transversals:

• When two parallel lines are cut by a transversal, corresponding angles are equal, alternate - interior angles are equal, and same - side interior angles are supplementary (add up to 180°).
• Let's assume that in the given figure, we have two parallel lines \(l\) and \(m\) cut by a transversal \(t\).
• If we consider the angle relationships, we know that if one angle is \(x\) and its corresponding or alternate - interior angle has the same measure, and if it is a same - side interior angle with another angle \(y\), then \(x + y=180^{\circ}\).
• Since the options are 60, 90, 120, and 180, and we are dealing with angle - sum relationships for parallel lines and transversals.
• If we assume that \(x\) and \(y\) are same - side interior angles (which are supplementary), then \(x + y = 180\).
• Without seeing the specific angles in the figure clearly, but based on the general property of parallel lines cut by a transversal, if we consider two angles that are on the same side of the transversal and between the parallel lines, they are supplementary.

Answer:

\(x + y=180\)