Question

are the angles equal or not equal this example? transversal l₁ l₂ not equal maybe equal none of these

Explanation:

Step1: Identify Angle Relationship

The lines \( l_1 \) and \( l_2 \) are parallel (implied by the diagram's structure), and a transversal intersects them. The marked angles are corresponding angles or alternate interior angles? Wait, actually, when two parallel lines are cut by a transversal, corresponding angles are equal. But wait, no—wait, the angles here: if the lines are parallel, then the angles should be equal? Wait, no, wait the diagram: the two angles are on different parallel lines? Wait, no, the transversal cuts two parallel lines. Wait, but the key is: if the lines are parallel, then corresponding angles (or alternate interior) are equal. But in the diagram, are the lines parallel? The arrows on \( l_1 \) and \( l_2 \) suggest they are parallel (same direction). So when a transversal cuts parallel lines, the angles formed (like corresponding angles) are equal. Wait, but the angles here: one is on \( l_1 \), one on \( l_2 \), with the transversal. Wait, actually, the angles are equal because they are corresponding angles (or alternate interior) when lines are parallel. Wait, no—wait, maybe I made a mistake. Wait, the problem is: are the angles equal? Let's recall: when two parallel lines are cut by a transversal, corresponding angles are equal, alternate interior angles are equal, etc. So if \( l_1 \parallel l_2 \), then the angles should be equal. But wait, the diagram: the two angles are marked with the same arc, so they are equal? Wait, no, the options are "Not equal", "Maybe", "Equal", "None of these". Wait, the key is: if the lines are parallel, then the angles are equal. But wait, the lines \( l_1 \) and \( l_2 \) are parallel (as they have the same direction arrows), so the transversal creates equal angles (corresponding or alternate). So the angles are equal.

Step2: Select the Correct Option

From the options, "Equal" is the correct choice because parallel lines cut by a transversal form equal corresponding (or alternate) angles.

Answer:

Equal