Question

Use the diagram to name the following pairs. Circle if the angle pairs are congruent, supplementary, or neither.

Answer 1

Explanation:

<1 and < 7 are alternate exterior angles

Alternate exterior angles are equal

Hence, < 1 and <7 are congruent

<6 and <3 are interior angles on the same side of the transversal

Interior angles on the same side of the transversal are supplementary angles

Hence, <6 and <3 are supplementary.

<1 and <3 are vertical angles

Vertical angles are equal

Hence, <1 and <3 are congruent

<7 and <3 is neither congruent nor supplementary

,<7 and <3 are complementary angles