The Supplementary Angle calculator computes supplementary angle to an input angle.
INSTRUCTIONS: Choose units and enter the following:
- (α) Input Angle
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.
The Math / Science
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.
Angle Functions
- 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)