Question

question 3 (multiple choice worth 4 points) (01.06r lc) angles bae and fac are straight angles. what angle relationship best describes angles bac and eaf? adjacent angles complementary angles supplementary angles vertical angles

Explanation:

Step1: Recall angle - relationship definitions

Adjacent angles share a common side and a common vertex. Complementary angles add up to 90 degrees. Supplementary angles add up to 180 degrees. Vertical angles are opposite each other when two lines intersect.

Step2: Analyze the given angles

Since angles BAE and FAC are straight angles (180 degrees), and \(\angle BAC+\angle CAE = \angle BAE=180^{\circ}\), \(\angle EAF+\angle CAE=\angle FAC = 180^{\circ}\). So, \(\angle BAC=\angle EAF\) because \(\angle BAC+\angle CAE=\angle EAF+\angle CAE\). They are opposite each other when the lines forming the straight - angles intersect.

Answer:

D. Vertical angles