Question

∠1 and ∠2 are called ______.

supplementary angles
vertical angles
complementary angles
right angles

Explanation:

To determine what ∠1 and ∠2 are called, we analyze the options:

• Supplementary angles: Two angles that add up to \(180^\circ\). From the diagram, ∠1 and ∠2 form a linear pair (they are adjacent and form a straight line), so their sum is \(180^\circ\), meaning they are supplementary.
• Vertical angles: Opposite angles formed by intersecting lines (e.g., ∠1 and ∠3, ∠2 and ∠4), so this is incorrect.
• Complementary angles: Two angles that add up to \(90^\circ\), which is not the case here.
• Right angles: Angles of \(90^\circ\), and there's no indication ∠1 or ∠2 are right angles.

Answer:

supplementary angles