## Geometry: Common Core (15th Edition)

$m \angle A = 53^{\circ}$
The diagram is that of a parallelogram. Consecutive angles of a parallelogram are supplementary, meaning their sum equals $180^{\circ}$. We see that $\angle A$ and $\angle B$ are supplementary. Let's set up an equation to find $m \angle A$ using this information: $m \angle A = 180 - m \angle B$ Let's plug in what we know: $m \angle A = 180 - 127$ Subtract to solve: $m \angle A = 53^{\circ}$