Angles of Parallelogram
Parallelogram is a quadrilateral i.e. a polygon with four sides and four angles and the opposite pair of angles are equal in the parallelogram. i.e. in a parallelogram ABCD ∠A is equal to ∠C and ∠B is equal to ∠D.
The sum of all the angles in the quadrilateral is 360°. As a parallelogram is a quadrilateral so sum of all the angles of the parallelogram ABCD equals 360°. Now,
∠A + ∠B + ∠C + ∠D = 360°
in parallelogram ∠A = ∠C and ∠B = ∠D
Thus,
∠A + ∠B + ∠A + ∠B = 360°
2(∠A + ∠B) = 360°
∠A + ∠B = 180°
Similarly, ∠C + ∠D = 180°
Thus, adjacent angles are supplementry in a parallelogram.
Introduction to Parallelogram: Properties, Types, and Theorem
Parallelogram is a two-dimensional geometrical shape whose opposite sides are equal in length and parallel. The opposite angles of a parallelogram are equal in measure.
In this article, we will learn about the definition of a parallelogram, its properties, types, theorem and formulas on the area and perimeter of a parallelogram in detail.
Table of Content
- Parallelogram Definition
- Shape of Parellelogram
- Angles of Parallelogram
- Properties of Parallelogram
- Types of Parallelogram
- Parallelogram Formulas
- Area of Parallelogram
- Perimeter of Parallelogram
- Parallelogram Theorem
- Difference Between Parallelogram and Rectangle
- Solved Examples on Parallelogram
- Real-Life Examples of a Parallelogram