Adjacent angles are two angles, which share a common vertex and a common side, but do not overlap. They lie next to each other on a plane. The key characteristics of adjacent angles are:
- Common Vertex: They must have the same vertex or corner point
- Common Side: They share a common side (a straight line)
- Non-Overlapping: The non-common sides of the angles form two rays going in different directions
It’s important to note that adjacent angles can be of any size, and their sum is not necessarily a specific amount unless they form a special case, like a linear pair.
Example 1: Angles Formed by Intersecting Lines
Imagine two straight lines intersecting each other, like the letter “X”. This intersection creates four angles.
Any two angles, that share a common side of this “X” are adjacent. For instance, if we label these angles 1, 2, 3, and 4, then angles 1 and 2 are adjacent, as are angles 2 and 3, 3 and 4, and 4 and 1
Example 2: Angles on a Straight Line (Linear Pair)
Consider a straight line with a ray coming off it, forming an angle. This scenario creates two angles side by side along the line. These two angles are adjacent and also form a linear pair.
In a linear pair, the sum of the angles is exactly 180 degrees. For example, if one angle is 60 degrees, the adjacent angle on the line must be 120 degrees to add up to 180 degrees
Adjacent Angles – Video Material
The Most Popular Topics:
- Corresponding angles
- Adjacent angles
- Congruent angles
- Complementary angles
- How to multiply fractions – multiplying fractions
- How to divide fractions – dividing fractions
- How to add fractions – adding fractions
- How to subtract fractions – subtracting fractions
- How to simplify fractions – simplifying fractions
- Midpoint, midpoint formula
- Quadratic formula
- Quadratic equation
- Median – what is the median in math?
- How to find median?
- Distributive property
- Associative property
- Commutative property
- Quotient – what is a quotient?
- Quotient rule
- System of equations
- Solving system of equations
- Linear equations
- Solving equations
- Slope
- Slope formula
- Slope calculator
- Point slope formula
- Slope intercept form
- How to find slope?
- Convert fraction to decimal
- Factors of a number
- Point slope form
- Slope equation
- Domain and range
- Domain – what is domain in math?
- How to find the domain of a function?
- How to find domain and range?
- Polynomial
- Polynomial long division
- Polynomial division – dividing polynomials
- Degree of polynomial
- Factoring polynomials – how to factor polynomials?
- Perpendicular lines
- Parabola equation
- Isosceles triangle
- Perimeter of triangle
- Scalene triangle
- Obtuse triangle
- Acute triangle
- Right triangle
- Trapezoid area formula
- What is a trapezoid?
- Isosceles trapezoid
- Rectangle
- Area of a rectangle
- Perimeter of a rectangle – how to find perimeter of a rectangle?
- Pythagorean theorem
- Vertex – how to find vertex?
- Vertex form
- Vertex formula
- How to find square root of a number?
Return to MathQuadrum.com from Adjacent angles home for more topics on mathematics