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In the above figure ray OR is called angular bisector of ∠POQ. Since ∠AOB = ∠POQ = 60 o Angular bisector:Ī ray which divides an angle into two congruent angles is called angular bisector. In the above figure ∠AOB & ∠POQ are congruent angles. Two angles having the same measure are known as congruent angle. If any angle of ‘y ‘ is less than 360 o thenĬonjugate angle of y = 360 o – y o Congruent angles: Here ∠POR is said to be conjugate angle of ∠ROQ and ∠ROQ is said to be conjugate angle of ∠POR. Since sum of the these two angles are 360 o Each one of these angles is called the conjugate of the other.įrom the above example ∠POR = 50 o, ∠ROQ = 310 o are conjugate angles If the sum of two angles are 360 then the angles are said to be Conjugate angles. Supplementary angle of y = 180 o – y o Conjugate Angles: If any angle of Y is less than 180 o then Now, we can outline the following basic properties of a linear pair of angles. In the same way, we can prove that each linear pair of angles is a pair of supplementary angles. By the definition of supplementary angles, angles 1 and 2 are supplementary angles. Hence, they are a pair of supplementary angles. Supplementary angles are two angles whose measures add up to 180°. Here ∠POR is said to be supplementary angle of ∠ROQ and ∠ROQ is said to be supplementary angle of ∠POR. Solution: Add the given two angles and check if the resultant angle is 180° or not. Since sum of the these two angles are 180 o Each one of these angles is called the supplementary of the other.įrom the above example ∠POR = 50 o, ∠ROQ = 130 o are supplementary angles

If the sum of two angles are 180 o then the angles are said to be supplementary angles. If any angle of ‘ y ‘ is less than 90 o thenĬomplementary angle of y = 90 o – y o Supplementary angles Here ∠POR is said to be complementary angle of ∠ROQ and ∠ROQ is said to be complementary angle of ∠POR. Since sum of the these two angles are 90 o Each one of these angles is called the Complementary of the other.įrom the above example ∠POR = 50 o, ∠ROQ = 40 o are complementary angles If the sum of two angles are 90 o then the angles are said to be Complementary angles. 1 Angle Pairs Definition and Examples | Conjugate and Congruent AnglesĪngle Pairs Definition and Examples | Conjugate and Congruent Anglesįor Basic concepts of angles and Different Types of Angles in Geometry like Zero Angle, Acute Angle, Right Angle, Obtuse angle, Straight Angle, Reflex Angle & Complete angle go through the below linkĪcute, Right, Obtuse, Straight, Reflex & Complete angle Complementary Angles.