Question

in the figure below, m∠1 = 57°. find m∠2.

Explanation:

Step1: Identify angle - relationship

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

Step2: Use complementary - angle formula

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

Step3: Substitute the value of $\angle1$

$m\angle2 = 90 - 57$.
$m\angle2=33^{\circ}$

Answer:

$33$