Question

in the figure below, m∠1 = 37°. find m∠2.

Explanation:

Step1: Identify angle - relationship

$\angle1$ and $\angle2$ are supplementary angles, so $m\angle1 + m\angle2=180^{\circ}$.

Step2: Solve for $m\angle2$

$m\angle2 = 180^{\circ}-m\angle1$. Substitute $m\angle1 = 37^{\circ}$, then $m\angle2=180 - 37=143^{\circ}$.

Answer:

$143$