Adjacent Angles in Parallelogram
In a parallelogram, two pairs of opposite angles are formed. Adjacent angles are those angles that share a common vertex and a common side, but they are not opposite angles.
Specifically, in a parallelogram:
- Opposite angles are congruent (they have the same measure).
- Adjacent angles are supplementary (the sum of their measures is 180°).
For example, in the diagram below, angles A and B are adjacent angles, as are angles C and D. Angle A and angle C are opposite angles, as are angle B and angle D.
So, if you know the measure of one angle in a parallelogram, you can find the measure of its adjacent angle by subtracting it from 180°.
What is Adjacent Angle in Geometry?
Adjacent Angles are the angles that have a common vertex, a common arm, and the rest two arms lie on either side of the common arm. Angles are particularly important in geometry as they help define and understand different geometric figures and their characteristics. Geometry is a branch of mathematics that focuses on shapes, sizes, and angles. A key concept within geometry is adjacent angles. Understanding adjacent angles helps us grasp the geometry of lines, polygons, and other shapes.
In this particular article, we are going to learn about adjacent angles, their definitions, their properties, and some examples and we will also practice some questions on it.
Table of Content
- What is an Adjacent angle?
- Properties of Adjacent Angle
- Adjacent Angles in Parallelogram
- Supplementary Adjacent Angles
- Complementary and Adjacent Angles
- Non-adjacent angles
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