Question

in the figure below, m∠2 = 38°. find m∠1.

Explanation:

Step1: Identify angle - relationship

$\angle1$ and $\angle2$ are complementary, so $m\angle1 + m\angle2=90^{\circ}$.

Step2: Solve for $m\angle1$

$m\angle1=90^{\circ}-m\angle2$.
Substitute $m\angle2 = 38^{\circ}$ into the equation: $m\angle1=90 - 38$.
$m\angle1 = 52^{\circ}$.

Answer:

$52$