Question

if two angles are supplementary, and one angle is a right angle, what can you infer about the other angle? select one of four the other angle also measures 90 degrees. the other angle is less than 90 degrees. the other angle is greater than 90 degrees. there isnt enough information to answer. remaining attempts: 1

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles are two angles whose sum is \(180^{\circ}\). Let one angle be \(A = 90^{\circ}\) (a right - angle) and the other angle be \(B\). Then \(A + B=180^{\circ}\).

Step2: Solve for \(B\)

Substitute \(A = 90^{\circ}\) into the equation \(A + B = 180^{\circ}\). We get \(90^{\circ}+B = 180^{\circ}\). Using the subtraction property of equality, \(B=180^{\circ}-90^{\circ}\). So \(B = 90^{\circ}\).

Answer:

The other angle also measures 90 degrees.