One angle is acute and the other is obtuse, i.e., one is less than 90° and the other is more than 90°. Description of the angles Both the angles involved are acute, i.e., they are less than 90°. Sum of the angles in π The sum of the two included angles is π/2. The sum of the two included angles is 180°. Comparison Table Between Complementary Angle and Supplementary Angle Parameters of Comparison Complementary Angle Supplementary Angle Sum of the angles in degrees The sum of the two included angles is 90°. Straight angles are formed by joining supplementary angles together.įor example, if two angles measure 110° and 70° respectively, they can be regarded as supplementary angles because their sum equals 180°. This makes the two angles 50 degrees and 40 degrees after substituting the value of 30 degrees for x.Whenever the sum of two angles is exactly 180°, they are called supplementary angles.
We can set up this equation and solve for x.
What is the value of x and what are the two angle measures?Īs the two angles are complementary, the sum of the two angles equal to 180 degrees. The first angle is x + 20 and the second angle is x + 10. There are two angles that are complementary to each other. The obtuse angle in this case would be 110 degrees. Given an acute angle such as 70 degrees, the second angle can be computed by doing 180 minus the given 70 degrees. This particular example is a bit theoretical and abstract. Subtracting both sides by x gives the measure of the obtuse angle y. What is the measure of this obtuse angle?Īs the two angles are supplementary we can start with this equation: The two equal angles are 45 degrees and 45 degrees.Īn acute angle of x degrees is supplementary to an obtuse angle named y. Knowing that a right angle is 90 degrees, you can take half of 90 to obtain 45. The supplement of the 110 degree angle would be 70 degrees as 110 + 70 = 180.Ī right angle is bisected into two equal angles. Two angles are supplementary when the sum of the two angles equal 180 degrees. The complement of the 30 degree angle would be 60.ĭetermine the supplement of a 110 degree angle. What is the complement of a 30 degree angle?įinding the complement of a 30 degree angle involves finding a second angle x such that 30 + x = 90. You can also have the case where the two angles are neither supplementary nor complementary angles.Īlgebra tools and skills can be used to solve for missing angles. If the two angles add up to 180 degrees then the two angles are supplementary. If two angles add up to 90 degrees then those two angles are complementary angles. The hardest part might be remembering if complementary angles go with 90 degrees or 180 degrees. It is actually easy to check if two angles are complementary or supplementary. The letter c being before s relates with 90 degrees being less than 180 degrees.Ĭhecking If Two Angles Are Complementary or Supplementary The first letter from complementary is c which is before s from supplementary. Recently, I have developed a useful memory aid for remembering complementary and supplementary angles. When two angles add up to 180 degrees the two angles are supplementary angles.įrom time to time, we do forget stuff that we have learned from the past. Two angles measurements are considered complementary if these two angles add up to 90 degrees. What Are Complementary and Supplementary Angles?
Solving For Missing Angles With Examples.Checking If Two Angles Are Complementary or Supplementary.What Are Complementary and Supplementary Angles?.This topic just helps with understanding some math jargon. If you are wondering about applications for this. This topic is not particularly difficult but complementary and supplementary angles do get mixed up sometimes. In this mathematics post, I would like to cover complementary and supplementary angles.
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