2.2 Complementary and Supplementary Angles


Definition-Complementry angles are two angles whose sum is 90° (a right angle).

Each of the two angles is called the complement of the other.

Definition-Supplementry angles are two angles whose sum is 180° (a straight angle).

Each of the two angles is called the supplement of the other.

Example:
1. One of two complementary angles is three more than the twice the other. Find the measure of each.

Answer: Let x = measure of smaller angle
          2x + 3 = measure of larger angle
    x + 2x + 3 = 90
          3x + 3 = 90
                3x = 87
                  x = 29
          2x + 3 = 61
The measures of the two angles are 29 and 61.