Question

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

Explanation:

Step1: Note angle - sum property

The two angles are complementary, so $\angle1+\angle2 = 90^{\circ}$.

Step2: Solve for $\angle2$

$\angle2=90^{\circ}-\angle1$.

Step3: Substitute value of $\angle1$

$\angle2 = 90^{\circ}-38^{\circ}=52^{\circ}$.

Answer:

$52^{\circ}$