Angle of a trapezoid

Calculator and formulas for calculating the angle of a trapezoid

Angle of a trapezoid calculation


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).


Get angle of a trapezoid

  What should be calculated ?
 Input
Height
Side \(d\) Side \(b\)
Decimal places
 Results
Angle \(α\) Angle\(β\)
Angle\(δ\) Angle \(γ\)

Formulas for calculating the trapezoid angles

Angle Alpha \(α\)

\(\displaystyle α = asin\left(\frac{h}{d}\right)\) \(\displaystyle α = 180 - δ\)

Angle Beta \(β\)

\(\displaystyle β = asin\left(\frac{h}{b}\right)\) \(\displaystyle β = 180 - γ\)

Angle Gamma \(γ\)

\(\displaystyle γ = 180 - β\)

Angle Delta \(δ\)

\(\displaystyle δ = 180 - α\)
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