supplementary angles
two angles with a sum of 180 degrees
Supplementary angles are two angles that add up to 180 degrees. In other words, if you have two angles and you add them together, and the result is 180 degrees, then those two angles are supplementary.
For example, let’s say we have angle A and angle B. If the measure of angle A is 40 degrees, then the measure of angle B must be 140 degrees in order for the two angles to be supplementary. (40 + 140 = 180)
Supplementary angles can be found in many geometric shapes, such as triangles, quadrilaterals, and even circles. In a triangle, the sum of the three internal angles is 180 degrees, so if you know the measure of two angles, you can find the measure of the third by subtracting their sum from 180. For example, if you know that two angles in a triangle are supplementary and one of them is 60 degrees, then the third angle must be 120 degrees (180 – 60 = 120).
In real-life applications, supplementary angles can be useful in solving problems related to angles and directions. For instance, if you know that the angle between two buildings is 150 degrees, then you can easily figure out that the angle between the opposite buildings is 30 degrees since 150 and 30 are supplementary angles.
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