Arithmetic
Additive Identity
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Distributivity of Multiplication over Addition
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method
Algebra
Algebraic Equation
Algebraic Expression
Cartesian System
Linear Equations
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose
Geometry
Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Quadrilateral
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range
Home >> Parallelogram >> Adjacent Angles of Parallelogram >>

Adjacent Angles of Parallelogram

Area of Parallelogram Opposite Angles of Parallelogram Adjacent Angles of Parallelogram Diagonal Of Parallelogram Difference & Similarity between Rectangle & Parallelogram
Difference & Similarity between Square & Parallelogram Difference & Similarity between Square, Rectangle & Parallelogram Properties of Parallelogram

Adjacent Angles in a parallelogram are always supplementary
In other words, we can say:
Sum of Adjacent Angles in a parallelogram is always equal to 180 degree.

Example 1: Observe the parallelogram PQRS



Since we know that sum of adjacent angles in a parallelogram is always equal to 180 degree, so we get:

Angle P + Angle Q = 180 degree
Angle Q + Angle R = 180 degree
Angle R + Angle S = 180 degree
Angle S + Angle P = 180 degree

Example 2: In the given parallelogram ABCD, angle D = 70 degree. Find measure of the remaining angles.



Solution: In the given parallelogram,
Angle D = 70 degree

Since, Adjacent Angles in a parallelogram are always supplementary, so we get:
Angle D + Angle C = 180 degree

Put the values of angle D from above and we get:
70 + Angle C = 180

Subtract 70 from both sides and we get:
Angle C = 110 degree……………………(Statement 1)


Now again from adjacent angle property of parallelogram we get:
Angle C + Angle B = 180 degree

Put the values of angle C from above statement 1 and we get:
110 + Angle B = 180

Subtract 110 from both sides and we get:
Angle B = 70 degree……………………(Statement 2)


Lastly, again apply adjacent angle property of parallelogram and we get:
Angle B + Angle A = 180 degree

Put the values of angle B from above statement 2 and we get:
70 + Angle A = 180

Subtract 70 from both sides and we get:
Angle A = 110 degree
Follow us on :

Terms & Conditions

All rights reserved