Question

angles bae and fac are straight angles. what angle relationship best describes angles bac and eac? vertical angles nonadjacent angles linear pair complementary angles

Explanation:

Step1: Recall angle - relationship definitions

Adjacent angles share a common side and a common vertex. Non - adjacent angles do not. Vertical angles are opposite each other when two lines intersect. A linear pair is a pair of adjacent angles whose non - common sides are opposite rays and their sum is 180 degrees. Complementary angles have a sum of 90 degrees.

Step2: Analyze angles BAC and EAC

Angles BAC and EAC share a common side AC and a common vertex A. Their non - common sides AB and AE are part of the straight angles BAE. The sum of ∠BAC and ∠EAC is 180 degrees as they form a part of the straight angle BAE. So, they are a linear pair.

Answer:

Linear pair