Question

Explain which fact about angles DAC and CAB allowed you to calculate your answer to Part A. (Subject: Mathematics)

A. DAC and CAB are complementary angles.
B. DAC and CAB are supplementary angles.
C. DAC and CAB are congruent angles.
D. DAC and CAB form a linear pair.

Answer 1

DAC and CAB form a linear pair, which allows us to calculate the answer.

Step-by-step explanation:

To calculate the answer to Part A, we need to understand the relationship between angles DAC and CAB. The fact that allows us to calculate the answer is that DAC and CAB form a linear pair. A linear pair of angles is a pair of adjacent angles formed when two lines intersect. In a linear pair, the measures of the two angles add up to 180 degrees. Therefore, knowing that DAC and CAB form a linear pair allows us to calculate their measures and solve the problem.