complement angle and supplementary angle

#Complement angle and supplementary angle how to

Problem 1: Calculate the values of the two complementary angles, A and B, if A = (2x – 18)° and B = (5x – 52)°. In two supplementary angles, one angle is acute and the other is obtuse, or both of them may be right angles. If a pair of supplementary are joined together, then they form a straight line.įor two angles to be complementary, their sum must be 90 degrees, i.e., the two angles must be acute. If a pair of complementary are joined together, then they form a right angle. (180° – θ) is the supplement of an angle θ. (90° – θ) is the complement of an angle θ. If the sum of a pair of angles is 180°, then they are said to be supplementary. If the sum of a pair of angles is 90°, then they are said to be complementary. Difference between complementary and supplementary angles We know that the sum of two complementary angles is 90°.Īs a result, the complement of 17° is (90° – 17°) = 73°. If θ is the given angle, then (90° – θ) is the complement of θ.įor example, calculate the complement of 17°. To find the complement of an angle, we need to subtract the given angle from 90°, as we know that the sum of two complementary angles is 90°. The two complementary angles are acute.Even if the sum of three or more angles is 90°, they can not be complementary.An angle is said to be the complement of another angle if the sum of both angles is 90°.The two complementary angles can either be adjacent or non-adjacent.A pair of angles are said to be complementary if they add up to 90°.Let us discuss some properties of complementary angles. Let us assume that ∠COB is complementary to ∠BOA and ∠DOC.įrom the definition of the complementary angles we get,įrom equations (1) and (2) we can say that,

#Complement angle and supplementary angle how to

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