Quadrilateral Angles Sum Formula
A quadrilateral is a polygon with four sides and four vertices.
The sum of the internal angles of any polygon can be calculated using a standard formula. This formula depends on the number of sides the polygon has.
Calculating Internal Angles of a Quadrilateral
The formula for the sum of the internal angles (in degrees) of a polygon with n sides is:
\( \text{Sum of angles} = (n-2) \times 180^{\circ} \)
For a quadrilateral, the number of sides is \(n=4\). Substituting this value into the formula:
- Calculate the factor: \((n-2) = (4-2) = 2\)
- Multiply by 180: \(2 \times 180^{\circ} = 360^{\circ}\)
Therefore, the sum of all internal angles of a quadrilateral is \(360^{\circ}\).
Similar Questions
- A quadrilateral with equal sides, whose angles are NOT right angles, is known as:
Important Questions from Quadrilaterals
The area of a rectangle is 300 cm 2and the length of its diagonal is 25 cm. The perimeter of the rectangle (in cm) is:
The adjacent angles of a rhombus are in the ratio of 3 : 6. The smallest angle of the rhombus is:
The area of a trapezium is 18 sq.cm. Its height and base are 3 cm and 5 cm respectively. Find the length of the side parallel to the base.
Find the area of a rhombus whose perimeter is 116 cm and one diagonal is 42 cm in length.
The ratio of sides to a quadrilateral is 2 ∶ 3 ∶ 4 ∶ 5 and the perimeter is 560 cm. Find out the smallest side. (In cm)
