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`beta = pi - alpha`

Enter a value for all fields

The **Complementary Angle** calculator computes complementary angle to an input angle.

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

**(**Input Angle**α**)

**Complementary 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 complementary angle is one of a pair of angles whose measures add up to 90 degrees. If two angles are complementary, they can be adjacent (forming a right angle) or non-adjacent. For example, if one angle measures 30 degrees, its complementary angle would measure 60 degrees, since 30^{∘}+ 60^{∘ }= 90^{∘}.

The formula for supplementary angle is:

β = π/2 - α

where:

- β = Complementary Angle
- α = Input Angle

**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)