What is the Supplementary Angle of 10 Degrees?

A supplementary angle is the angle which produces a straight line of 180° when added to the given angle.

In this example, we are trying to calculate the supplementary angle for the given angle of 10 degrees.

This is a very simple problem to solve, and we can work out the supplement of 10 degrees using some basic algebra.

To start with, let's set up the problem we are trying to solve as an equation. We know that the supplementary angle added to the given angle of 10° equals 180 degrees.

S + 10 = 180

What we need to do is solve this equation so that we can find S, the supplementary angle.

Let's rearrange the equation using algebra to work out the supplement of 10°:

S = 180 - 10

You should now be able to see the answer to this problem forming, as we just need to deduct 10 from 180 to get our supplementary angle:

180 - 10 = 170

This means that the supplementary angle of 10 degrees is 170 degrees.

Give this a try for yourself and try to work out the supplementary angles of any given angle which is less than 180°.

If you'd like some ideas of angles to calculate, take a look at the random list in the sidebar and try to solve them without checking the answer first.

If you want to learn more about the theory of supplementary angles and how they differ from complementary angles, we have a blog post that might help.

We cover the criteria for supplementary angles, how to find them (which is an expansion of the above calculation), the properties of supplementary angles, the different types, and lots of examples to work through.

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