θ 4 and θ 1 are adjacent angles and their non-common sides are D0 and OB, DO + OB = DB is a Straight Line so both are linear pair of angles.Ī vertical angle is a pair of non-adjacent angles that are formed by the intersection of two Straight Lines. θ 3 and θ 4 are adjacent angles and their non-common sides are CO and OA, CO + OA = CA is a Straight Line so both are linear pairs of angles. 
θ 2 and θ 3 are adjacent angles and their non-common sides are BO and OD, BO + OD = BD is a Straight Line so both are linear pairs of angles. θ 1 and θ 2 are adjacent angles and their non-common sides are AO and OC, AO + OC = AC is a Straight Line so both are linear pairs of angles. Now we see four angles are there let’s try to observe them one by one. Let’s call the intersection of line AC and BD to be O. Let’s see some examples for a better understanding of Pair of Angles. We say two angles as linear pairs of angles if both the angles are adjacent angles with an additional condition that their non-common side makes a Straight Line. Here θ 1 and θ 2 are having a common vertex, they share a common side but they overlap so they aren’t Adjacent Angles. Here θ 1 and θ 2 are having a common vertex, they don’t overlap but because they don’t share any common side they aren’t Adjacent Angles. 
Let’s see some of the examples where we might get confused that whether they are adjacent angles or not. We know what conditions two angles need to fulfill to be Adjacent angles. When we have two angles with a common side, a common vertex without any overlap we call them Adjacent Angles. If one angle is x°, its supplement is 180° – x°. If one angle is x°, its complement is 90° – x°.
If we have one angle as x° then to find a supplementary angle we need to subtract it from 180°.Įxample: We have 60° then the supplementary angle of it is 180° – 60° which is 120° Difference Between Complementary Angle and Supplementary Angle Complementary Angleīoth the angles are called complements of each other.īoth the angles are called supplement of each other. If we have two angles as x° and y° and x° + y° = 180° then x is called the supplementary angle of y and y is called the supplementary angle of x.Įxample: We have 100° and 80° then, 100° is the supplementary angle of 80° and 80° supplementary angle of 100°. When we have two angles whose addition equals to 180° then the angles are called Supplementary Angles.īelow is the pictorial representation of the Supplementary Angle. If we have one angle as x° then to find a complementary angle we need to subtract it from 90°.Įxample: We have 30° then the complementary angle of it is 90° – 30° which is 60° Supplementary Angles. If we have two angles as x° and y° and x° + y° = 90° then x is called the complementary angle of y and y is called the complementary angle of x.Įxample: We have 20° and 70° then, 20° is a complementary angle of 70° and 70° is a complementary angle of 20°. When we have two angles whose addition equals 90° then the angles are called Complementary Angles.īelow is the pictorial representation of the Complementary Angles. Theorem - The sum of opposite angles of a cyclic quadrilateral is 180° | Class 9 Maths. Mean, Median, Mode, and Range - Statistics | Class 9 Maths. Mid Point Theorem - Quadrilaterals | Class 9 Maths. What is a Storage Device? Definition, Types, Examples. Class 9 RD Sharma Solutions – Chapter 8 Introduction to Lines and Angles- Exercise 8.1. ISRO CS Syllabus for Scientist/Engineer Exam. ISRO CS Original Papers and Official Keys. GATE CS Original Papers and Official Keys.
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