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
- The sum of all internal angles of a quadrilateral is:
- A quadrilateral with equal sides, whose angles are NOT right angles, is known as:
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:
Important Questions from Quadrilaterals
ABCD is a quadrilateral such that $\angle A = 47^\circ$, $\angle B = 66^\circ$, $\angle C = 133^\circ$ and $\angle D = 114^\circ$. What type of a quadrilateral is ABCD?
- What is the main purpose of cell division in multicellular organisms?
- Which of the following organelles is the first to divide during binary fission in Amoeba?
- The sum of all internal angles of a quadrilateral is:
- If ABCD is a cyclic quadrilateral and ABC is an equilateral triangle find the angle of CDA.
