Question

problem 5: 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. supplementary b. congruent c. corresponding d. unique e. complementary

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, then the non - common sides of the two adjacent angles form a right - angle.

Step2: Analyze the sum of the two adjacent angles

The sum of the measures of \(\angle A\) and \(\angle B\) is \(90^{\circ}\) because the non - common sides (exterior sides) form a \(90^{\circ}\) angle.

Step3: Identify the angle relationship

Two angles whose sum is \(90^{\circ}\) are called complementary angles. So if the exterior sides of adjacent angles are perpendicular, the angles are complementary.

Answer:

E. complementary