Question

drag and drop the angle pairs to correctly match their description. vertical angles complementary angles supplementary angles adjacent angles that are neither complementary

Explanation:

• Vertical angles: Vertical angles are opposite angles formed by two intersecting lines. In the given diagram, \(\angle SUT\) and \(\angle RUQ\) are vertical angles.
• Complementary angles: Complementary angles are two angles whose sum is \(90^{\circ}\). In the given diagram, \(\angle TUP\) and \(\angle PUN\) are complementary angles.
• Supplementary angles: Supplementary angles are two angles whose sum is \(180^{\circ}\). In the given diagram, \(\angle SUQ\) and \(\angle RUQ\) are supplementary angles.
• Adjacent angles that are neither complementary nor supplementary: Adjacent angles are two angles that share a common vertex and a common side. In the given diagram, \(\angle RUS\) and \(\angle SUR\) are adjacent angles that are neither complementary nor supplementary.

Answer:

• Vertical angles: \(\angle SUT\) and \(\angle RUQ\)
• Complementary angles: \(\angle TUP\) and \(\angle PUN\)
• Supplementary angles: \(\angle SUQ\) and \(\angle RUQ\)
• Adjacent angles that are neither complementary nor supplementary: \(\angle RUS\) and \(\angle SUR\)