#Find supplementary angle how to

To find other angles, use the following formula: ∠x = 180°-∠y or ∠y = 180° -∠x You can calculate supplementary angles by subtracting the specified angle from 180 degrees. Note that, when two adjacent supplementary angles are put together, they form a straight line. Hence, they are supplementary angles but not adjacent. But when added up, that is 130° + 50° = 180°, their sum comes as 180°. Here, ∠ ABC and ∠ PQR are non-adjacent angles as they neither have a common nor a common arm.

Put simply, two supplementary angles that are not adjacent are said to be non-adjacent supplementary angles. Hence, these two angles can be called adjacent supplementary angles. These two angles add up to 180 degrees, that is ∠ BOA + ∠ AOC = 180°. Here ∠ BOA and ∠ AOC are adjacent angles as they have a common vertex, O, and a °common arm OA. Two supplementary angles that have a common vertex and a common arm are said to be adjacent supplementary angles. Each of these types of supplementary angles is explained below. Types of Supplementary AnglesĪdjacent and non-adjacent supplementary angles are the two types of supplementary angles. However, linear pairs are always supplementary. So, remember that supplementary angles are not necessarily linear pairs. Supplementary angles do not have to be adjacent, but linear pairs must be adjacent to form a straight line. One of the most asked questions is whether all supplementary angles form linear pairs? Hence, any two angles can be supplementary angles, if their sum is equivalent to 180 °. But also note that even if two angles are supplementary to each other, they do not have to be next to each other. When two supplementary angles are joined together, they form a straight line and a straight angle. In a supplementary angle if one angle is 90°, then the other angle will also be 90°.The supplementary angles do not have to be on the same line, they can be on different lines, but should measure 180°.The “S’ in supplementary angles stand for Straight line, this means that they form 180°.Any two angles are said to be supplementary angles when their sums add up to 180°.Supplementary angles all share the same properties: Let’s try to find the supplementary angle measurement for each measured angle. Now when you look at the above examples you will find that there will always be an obtuse angle (150°, 130°, 96°, 120°) added with an acute angle (60°, 90°, 40°, 84°) or there will be a sum of two right angles (90°, 90°). Let’s look at some examples of supplementary angles to get a better understanding: Please use the tool below to link back to this page or cite/reference us in anything you use the information for.As you go through, you will explore a world of supplementary angles with important applications in solving various geometric problems.

#Find supplementary angle how to

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

This means that the supplementary angle of 32 degrees is 148 degrees. You should now be able to see the answer to this problem forming, as we just need to deduct 32 from 180 to get our supplementary angle: Let's rearrange the equation using algebra to work out the supplement of 32°: What we need to do is solve this equation so that we can find S, the supplementary angle. We know that the supplementary angle added to the given angle of 32° equals 180 degrees. To start with, let's set up the problem we are trying to solve as an equation. This is a very simple problem to solve, and we can work out the supplement of 32 degrees using some basic algebra. In this example, we are trying to calculate the supplementary angle for the given angle of 32 degrees.

What is the Supplementary Angle of 32 Degrees?Ī supplementary angle is the angle which produces a straight line of 180° when added to the given angle.