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`beta = pi - alpha`

Enter a value for all fields

The **Supplementary Angle** calculator computes supplementary angle to an input angle.

**INSTRUCTIONS**: Choose units and enter the following:

**(**Input Angle**α**)

**Supplementary Angle (β): **The results are returns in units of radians, decimal degrees and degrees-minutes-seconds. However, these can be automatically converted to compatible units via the pull-down menu.

In geometry, a supplementary angle is one of a pair of angles whose measures add up to 180 degrees. If two angles are supplementary, they can be adjacent (forming a straight line) or non-adjacent. For example, if one angle measures 110 degrees, its supplementary angle would measure 70 degrees, since 110^{∘}+70^{∘}=180^{∘}.

The formula for supplementary angle is:

β = π - α

where:

- β = Supplementary Angle
- α = Input Angle

In the diagram for the Gambrel Angle below, the supplementary angle to the Gambrel Angle (B) is c.

**Supplementary Angle**: Computes the angle that sums to 180 degrees.**Complementary Angle**: Computes the angle that sums to 90 degrees.**Angle Unit Conversion**: Converts an angle in one unit (e.g., radians) to other units (e.g., degree-minutes-seconds)