Question

what is the name of the pair of angles ∠abd and ∠cbf which are nonadjacent angles formed by the intersection of two lines? supplementary angles vertical angles adjacent angles complementary angles

Explanation:

1. Recall the definitions:

• Supplementary angles: Two angles whose sum is \(180^\circ\). This is about the sum, not the position from intersection.
• Vertical angles: Non - adjacent angles formed by the intersection of two lines. They are opposite each other at the intersection.
• Adjacent angles: Angles that share a common side and a common vertex and are next to each other. \(\angle ABD\) and \(\angle CBF\) are non - adjacent, so this is not correct.
• Complementary angles: Two angles whose sum is \(90^\circ\). This is about the sum, not the position from intersection.

1. Since \(\angle ABD\) and \(\angle CBF\) are non - adjacent and formed by the intersection of two lines, they match the definition of vertical angles.

Answer:

B. vertical angles