Question

in the figure below, m∠2 = 53°. find m∠1.

Explanation:

Step1: Identify angle - relationship

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

Step2: Use complementary - angle formula

Complementary angles sum to $90^{\circ}$, so $m\angle1=90^{\circ}-m\angle2$.

Step3: Substitute the value of $\angle2$

$m\angle1 = 90^{\circ}-53^{\circ}$.
$m\angle1=37^{\circ}$

Answer:

$37$