Understanding Supplementary Angles | Exploring the Relationship Between Angles and the Sum of 180 Degrees

supplementary angles

Supplementary angles are pairs of angles that, when added together, give a sum of 180 degrees

Supplementary angles are pairs of angles that, when added together, give a sum of 180 degrees. In other words, if two angles are supplementary, their measures add up to a straight angle.

Let’s say we have two angles, angle A and angle B. If angle A measures x degrees and angle B measures y degrees, then the relationship between these two angles can be written as:

x + y = 180

For example, if angle A measures 100 degrees, then angle B would measure:

x + y = 180
100 + y = 180
y = 180 – 100
y = 80

So angle B would measure 80 degrees, making angles A and B supplementary angles.

It’s important to note that supplementary angles do not have to be adjacent (side by side) or even in the same figure. They can be separated and found in different places, as long as their sum is equal to 180 degrees.

Supplementary angles are commonly found in various geometric concepts and problems. For instance, in a straight line, the sum of all the angles equals 180 degrees. Therefore, any two angles on a straight line would be supplementary. In a triangle, the three angles always add up to 180 degrees. So if you’re given two angles of a triangle, you can find the measure of the third angle by subtracting the sum of the given angles from 180 degrees.

More Answers: