Question

problem 6: complete this sentence with the best of the choices given. if the exterior sides of adjacent angles are perpendicular, the angles are __________. after you pick your answer press go. a. complementary b. a linear pair c. supplementary d. congruent e. vertical

Explanation:

Step1: Recall angle - relationship definitions

Let the two adjacent angles be $\angle A$ and $\angle B$. If the exterior sides of adjacent angles are perpendicular, the angle formed by the exterior - sides is $90^{\circ}$.

Step2: Use the angle - sum property

The sum of the two adjacent angles $\angle A+\angle B = 90^{\circ}$ (since the non - common sides are perpendicular). By the definition of complementary angles (two angles whose sum is $90^{\circ}$), the two adjacent angles are complementary.

Answer:

A. complementary