## Geometry: Common Core (15th Edition)

m$\angle$1 = 70$^{\circ}$ and m$\angle$2 = 110$^{\circ}$
$\angle$1 is supplementary to an angle that measures 110$^{\circ}$. As supplementary angles equal 180, we can solve for m$\angle$1: $\angle$1 + 110 = 180 $\angle$1 + 110 -110 = 180-110 $\angle$1 = 70$^{\circ}$ $\angle$2 is supplemtnary to $\angle$1. As $\angle$1 is 70$^{\circ}$, and the two angles are supplementary, we can solve for m$\angle$2: $\angle$2 + 70 = 180 $\angle$2 + 70 -70 = 180 - 70 $\angle$2 = 110$^{\circ}$