Question

1. which pair of angles below appear to be supplementary?

a.

c.

b.

d.

Explanation:

Step1: Recall supplementary angles

Supplementary angles are two angles whose sum is \(180^\circ\). So we need to check the sum of each pair of angles.

Step2: Check Option A

The angles are \(45^\circ\) and \(45^\circ\). Their sum is \(45 + 45 = 90^\circ\), not supplementary.

Step3: Check Option B

The angles are \(30^\circ\) and \(35^\circ\). Their sum is \(30 + 35 = 65^\circ\), not supplementary.

Step4: Check Option C

The angles are \(85^\circ\) and \(85^\circ\). Their sum is \(85 + 85 = 170^\circ\), not supplementary.

Step5: Check Option D

The angles are \(125^\circ\) and \(55^\circ\). Their sum is \(125 + 55 = 180^\circ\), which means they are supplementary.

Answer:

D. \(125^\circ\) and \(55^\circ\)