In the simplest language, the adjacent angles are " the angles that have a common side (arm) and vertex." We will see the minute details of adjacent angles which will cover meaning/definition, real life and, relevant examples, how to identify & properties of the angles, and many more.
Please stay tuned to enjoy the different shades of maths at the mathscolor.
What are Adjacent Angles?
- Adjacent complementary angle:- If the sum of adjacent angles is equal to 90 degrees then angles will be complementary to each other.
- Adjacent Supplementary angle:- If the sum of adjacent angles is equal to 180 degrees then angles will be supplementary to each other.
Adjacent Angles Examples
- Clock:- we can see the hour, minute, and second hand, it is forming adjacent angles and here second hand is the common arm.
- Pizza:- we can see the slices are placed next to each other and the image clearly shows the real-life example of the adjacent angles.
Properties of Adjacent Angles
- Common Arm - it will always have the common arm.
- Common vertex - it will share a common vertex.
- Non-Common Arms (sides) - it will have non-common arms on either side of the common arm.
- Supplementary or Complementary Angles - It can be either of them according to the angle measurements.
- Non-common interior point - it will not share any interior point as a common one.
- An acute angle be adjacent to an obtuse angle
- The two obtuse angles can be adjacent angles
- If the sum of two adjacent angles is 180, they will be called a linear pair of angles.
- Linear pair angles are supplementary but all supplementary angles are not linear pair angles.
How to Identify Adjacent Angles?
- Fig 1 is not adjacent - because angle 1 and 2 overlaps with each other.
- Fig 2 is not adjacent - because they have a common side but not a common vertex.
- Fig 3 is an adjacent one - It fulls filling the statement " common side and common vertex".