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
If, in the quadrilateral JKLM, the measures of the angles J, K, L, and M are in the ratio 2 : 3 : 5 : 6, then the quadrilateral is a:
- The sum of all internal angles of a quadrilateral is:
- A quadrilateral with equal sides, whose angles are NOT right angles, is known as:
Important Questions from Quadrilaterals
The ratio between the length and breadth of a rectangular park is 3 : 2. If a man cycling along the boundary at the speed of 12 km per hour completes one round in 8 minutes, then the area of the park in square meter will be
The side of a rhombus is 26 cm. The length of one of its diagonals is 20 cm. The sum of the lengths of the diagonals of this rhombus is equal to the perimeter of a rectangle. If the difference between the length and breadth of the rectangle is 6 cm, then what is the area of the rectangle?
PQRS is a cyclic quadrilateral. If ∠P is 4 times ∠R, and ∠S is 3 times ∠Q, then the average of ∠Q and ∠R is:
ABCD is a trapezium in which AB || DC and DC is perpendicular to BC. If ∠DAB = 110°, then ∠ABC - ∠ADC =_____.
The adjacent angles of a rhombus are in the ratio of 3 : 6. The smallest angle of the rhombus is:
