Answer
The measure of the angle complementary to the $56^{\circ}$ angle is $34^{\circ}$.
Work Step by Step
Complementary angles add up to $90^{\circ}$; therefore, if one complementary angle is $56^{\circ}$, then its complement $x$ is $90^{\circ} - 56^{\circ}$:
$x = 90^{\circ} - 56^{\circ}$
Subtract to solve for $x$:
$x = 34^{\circ}$
The measure of the angle complementary to the $56^{\circ}$ angle is $34^{\circ}$.