## Geometry: Common Core (15th Edition)

The measure of the angle complementary to the $56^{\circ}$ angle is $34^{\circ}$.
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 $34^{\circ}$.