Angle of a trapezoid
Calculator and formulas for calculating the angle of a trapezoid
This function calculates the angles of a trapezoid, given is a side length and the height. To calculate the angles, enter a side length and height, then click the 'Calculate' button
The angles \( α \) and \(δ\) can be calculated with the height and the side (d), or the angles \(β\) and \(γ\) with the height and side (b).
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Formula for the angle of a trapezoid
Angle Alpha \(α\)
\(\displaystyle α = asin\left(\frac{h}{d}\right)\) \(\displaystyle = 180 - δ\)
Angle Beta \(β\)
\(\displaystyle β = asin\left(\frac{h}{b}\right)\) \(\displaystyle β = 180 - γ\)
Angle Gamma \(γ\)
\(\displaystyle γ = 180 - β\)
Angle Delta \(δ\)
\(\displaystyle δ = 180 - α\)
Additional Information
A trapezoid is a quadrilateral with four sides. Additionally, since a trapezoid has a pair of parallel sides, there's the extra condition that the pair of angles along one of the legs are supplementary angles, meaning their sum must be 180 degrees (or π radians). The sum of all angles in a trapezoid is 360 degrees (or 2π radians).
Knowing the angles of a trapezoid is useful for identifying its height, which, in turn, helps calculate the area of the trapezoid.
The trapezoid angle calculator above can help you determine the angles when you give the height of the trapezoid and the length of a leg.
To calculate the other parameters you will find various trapezoid calculators on the next pages.
More Trapez calculators
Symmetrical TrapezoidUnsymmetrica Trapezoid
Right Angle Trapezoid
Trapezoid-Area
Trapezoid Diagonal e given height
Trapezoid Diagonal e given angle
Trapezoid Diagonal f given height
Trapezoid Diagonal f given angle
Trapezoid Height given angle
Trapezoid Height given area
Trapezoid Angle
Tri-equilateral Trapezoida
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