Question

1. what is the measure of the supplement of an angle whose measure is 56°? what is its complement?

Explanation:

Step1: Calculate the supplement

The sum of supplementary angles is \(180^{\circ}\).
Let the supplement be \(x\). Then \(x + 56^{\circ}=180^{\circ}\), so \(x = 180^{\circ}- 56^{\circ}\).

Step2: Calculate the complement

The sum of complementary angles is \(90^{\circ}\).
Let the complement be \(y\). Then \(y + 56^{\circ}=90^{\circ}\), so \(y=90^{\circ}-56^{\circ}\).

Answer:

The measure of the supplement is \(124^{\circ}\) and the measure of the complement is \(34^{\circ}\).