Supplementary And Complementary Angles

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Home > Math > Geometry > Geometry Topics > Supplementary and Complementary Angles Supplementary and Complementary Angles There are many special relationships that can be formed using angles. Here is a look at two of the relationships. Supplementary angles are two angles that have a sum of 180°. Complementary angles are two angles that have a sum of 90°. There is an easy way to try and remember these using the first letters of each word. The S in supplementary can be used to form the 8 in 180. The C in complementary can be used to form the 9 in 90. If we know that a set of angles form one of these special relationships, we can determine the measure of the other angle. Example #1: 43° To determine the supplement, subtract the given angle from 180. 180 - 43 = 137° The supplement of 43° is 137°. To determine the complement, subtract the given angle from 90. 90 - 43 = 47° The complement of 43° is 47°. Example #2: 61° 180 - 61 = 119° The supplement of 61° is 119°. 90 - 61 = 29° The complement of 61° is 29°. Example #3: 127° 180 - 127 = 53° The supplement of 127° is 53°. 127° is already greater than 90°. Therefore, there is no complement. Example #4: Determine the missing angle. Notice that the two angles for a right angle when together. This means that the angles are complementary and have a sum of 90°. 90 - 62 = 28° The missing angle measures 28 degrees. Example #5: Determine the missing angle. These two angles form a straight line. Straight lines measure 180°. That means that these two angles are supplementary. 180 - 77 = 103° The missing angle measures 103 degrees. Let's Review Complementary angles form a right angle (L shape) and have a sum of 90 degrees. Supplementary angles form a straight line and have a sum of 180 degrees. If the relationship is given, you can subtract the given angle from the sum to determine the measure of the missing angle.
Related Links: Complementary and Supplementary Angle Worksheets Math Geometry Angles

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