Supplementary angles are a pair of angles whose measures add up to 180 degrees. They are also known as "complement angles".
For example, if angle A measures 70 degrees, then its supplement angle B would measure 180 - 70 = 110 degrees.
In general, if angle A measures x degrees, then its supplement angle B would measure 180 - x degrees.
Keep in mind the following properties of supplementary angles:
1. The sum of the measures of the angles of any straight line is 180 degrees.
2. If two angles are supplementary to the same angle, then they are congruent (have equal measures).
3. Supplementary angles are always adjacent (next to each other) and form a linear pair.
Knowing these properties and the definition of supplementary angles can help you solve problems and find missing angle measures.
For example, if you are given that angle A is supplementary to angle B, and you know the measure of angle A is 125 degrees, you can find the measure of angle B by subtracting the measure of angle A from 180:
Angle B = 180 - 125 = 55 degrees.
Unit 3 lesson 6 supplementary angles, seventh grade connexus, math
1 answer