Question

check for understanding: special angle relationships
not graded
directions
answer the question below to check your understanding and move forward in the course! this quiz is not graded.
angles a and b are supplementary angles.
if the measure of angle b is 116°, then what is the measure of angle a?
select the correct answer
116°
20°
64°

Explanation:

Step1: Recall supplementary - angle property

Supplementary angles add up to 180°. So, \(A + B=180^{\circ}\).

Step2: Solve for angle A

Given \(B = 116^{\circ}\), then \(A=180^{\circ}-B\). Substitute \(B = 116^{\circ}\) into the equation: \(A = 180^{\circ}-116^{\circ}=64^{\circ}\).

Answer:

\(64^{\circ}\)