Supplementary angles are two angles and
whose measures satisfy
, the measure of a straight
angle. Equivalently, their measures sum to
radians.
When measured in degrees, the supplement of an angle with
is
. When measured in radians,
it is
.
The only angle supplementary to itself is the right
angle
radians.
Supplementary angles need not be adjacent. If the two angles are adjacent, they form a linear pair. Each pair of opposite angles of a cyclic quadrilateral is also supplementary.
The illustration gives an adjacent realization. It shows the adjacent angles
and
,
which together form the straight angle
.