Angles of Trapezium
Trapezium is a quadrilateral and the sum of all the angles of a quadrilateral is 360 degrees. So the sum of all the interior angles of the trapezium is 360 degrees.
For any regular trapezium i.e., the trapezium in which non-parallel sides are equal to the adjoining angles formed between the parallel line and the non-parallel line is equal. Thus, sum of these two angles is supplementary.
Let’s take an example to support this concept for an isosceles trapezium ABCD if AB is parallel to CD and AD is equal to CD then, we know that ∠A = ∠B and ∠C = ∠D then,
∠A + ∠B + ∠C + ∠D = 360°
Here, ∠A = ∠B and ∠C = ∠D
∠A + ∠A + ∠C + ∠C = 360°
2(∠A + ∠C) = 360°
(∠A + ∠C) = 180°
Similarly, (∠B + ∠D) = 180°
Trapezium in Maths | Formulas, Properties & Examples
Trapezium in Maths: A Trapezium is a polygon with four sides, i.e. it is a quadrilateral. Trapezium originated from the Greek word “trapeze” which means table. It is a complex quadrilateral. A trapezium is a special quadrilateral with only one pair of parallel sides. A trapezium is a two-dimensional shape that appears as a table.
A trapezium has four sides and four vertices. We see the trapezium shape in our daily life and it is one of the most common shapes. In this article, we will learn about what is trapezium in maths, its properties, formulas, examples, and types of trapezium, along with some solved examples of it.
Table of Content
- What is a Trapezium in Maths?
- Types of Trapezium
- Irregular Trapezium
- Properties of Trapezium
- Trapezium Formula
- Area of Trapezium Formula
- Perimeter of Trapezium Formula
- Difference between Trapezium and Trapezoid
- Angles of Trapezium
- Diagonal of Trapezium
- Trapezium Examples