Question

in the figure below, m∠2 = 31°. find m∠1.

Explanation:

Step1: Identify angle relationship

$\angle1$ and $\angle2$ are complementary.

Step2: Use complementary - angle formula

Complementary angles add up to 90°. So $m\angle1 + m\angle2=90^{\circ}$.

Step3: Solve for $m\angle1$

$m\angle1=90^{\circ}-m\angle2$. Given $m\angle2 = 31^{\circ}$, then $m\angle1=90 - 31$.
$m\angle1 = 59^{\circ}$

Answer:

$59$