Complementary Angle

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

INSTRUCTIONS: Choose units and enter the following:

• (α) Input Angle

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.

The Math / Science

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

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)