Complementary angles are two angles and
whose measures satisfy
, the measure of a right
angle. Equivalently, their measures sum to
radians.
When measured in degrees, the complement of an angle with
is
. When measured in radians,
it is
.
The only angle complementary to itself is
radians. The two
acute angles of a right
triangle are complementary.
Complementary angles need not be adjacent. The illustration gives an adjacent realization. It shows the adjacent angles and
, which together form the right
angle
.