Quadrilateral Internal Angles Sum Calculation
The sum of the internal angles of any polygon can be calculated using a standard formula. A quadrilateral is a polygon with 4 sides.
Angle Sum Formula for Polygons
The formula for the sum of the internal angles of a polygon with '\(n\)' sides is:
\( \text{Sum of angles} = (n-2) \times 180^\circ \)
Applying the Formula to Quadrilaterals
For a quadrilateral, the number of sides '\(n\)' is 4.
Substitute '\(n=4\)' into the formula:
- Step 1: Calculate \((n-2)\). For a quadrilateral, this is \((4-2) = 2\).
- Step 2: Multiply the result by \(180^\circ\). So, \(2 \times 180^\circ = 360^\circ\).
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:
- The sum of all internal angles of a quadrilateral is:
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?
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- If ABCD is a cyclic quadrilateral and ABC is an equilateral triangle find the angle of CDA.
- The angles of a quadrilateral are in the ratio of 1 : 3 : 4 : 7. What is the difference between the largest and the smallest angle?
