#Supplementary angle theorem how to

Substitute r = 20 in the initial equations. One angle will be r, and the other will be 8r The ratio of a pair of supplementary angles is 1:8. The sum of the angles must be equal to 180 degrees: (x – 2) + (2x + 5) = 180Ĭalculate the value of θ in the figure below. Given two supplementary angles as: (x – 2) ° and (x + 5) °, determine the value of x. Since 189°≠ 180°, therefore, 170° and 19° are not supplementary angles. Hence, 127° and 53° are pairs of supplementary angles.Ĭheck if the two angles, 170°, and 19° are supplementary angles. ∠x = 180° – ∠y or ∠y = 180° – ∠x where ∠x or ∠y is the given angle.Ĭheck whether the angles 127° and 53° are a pair of supplementary angles.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 theorem 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. Supplementary Angles – Explanation & Examples What are Supplementary Angles?