To find the other angle, use the following formula: We can calculate supplementary angles by subtracting the given one angle from 180 degrees.
SUPPLEMENTARY ANGLE OF 40 DEGREES HOW TO
The two angles in the above separate figures are complementary, i.e., 140 0 + 40 0 = 180 0 How to Find Supplementary Angles? Two pairs of supplementary angles don’t have to be in the same figure. A right angle is an angle that is exactly 90 degrees. On the other hand, an obtuse angle is an angle whose measure of degree is more than 90 degrees but less than 180 degrees.Ĭommon examples of supplementary angles of this type include:Ī supplementary angle can be made up of two right angles. ∠ θ and ∠ β are also adjacent angles because they share a common vertex and arm.Īn acute angle is an angle whose measure of degree is more than zero degrees but less than 90 degrees. ∠ θ is an acute angle, while ∠ β is an obtuse angle. ∠ θ and ∠ β are supplementary angles because they add up to 180 degrees. Possibilities of a supplementary angleĪ supplementary angle can be composed of one acute angle and another obtuse angle. For angles to be called supplementary, they must add up to 180° and appear in pairs. Supplementary angles are pairs angles such that the sum of their angles is equal to 180 degrees.Īlthough the angle measurement of straight is equal to 180 degrees, a straight angle can’t be called a supplementary angle because the angle only appears in a single form. Please use the tool below to link back to this page or cite/reference us in anything you use the information for.Supplementary Angles – Explanation & Examples What are Supplementary Angles? 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 40 degrees is 140 degrees. You should now be able to see the answer to this problem forming, as we just need to deduct 40 from 180 to get our supplementary angle: Let's rearrange the equation using algebra to work out the supplement of 40°: 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 40° 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 40 degrees using some basic algebra. In this example, we are trying to calculate the supplementary angle for the given angle of 40 degrees. What is the Supplementary Angle of 40 Degrees?Ī supplementary angle is the angle which produces a straight line of 180° when added to the given angle.
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