Question

in the figure below, m∠2 = 40°. find m∠1.

Explanation:

Step1: Identify angle - relationship

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

Step2: Use complementary - angle formula

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

Step3: Substitute the value of $\angle2$

Given $m\angle2 = 40^{\circ}$, then $m\angle1=90 - 40$.
$m\angle1 = 50^{\circ}$

Answer:

$50$