Question

in the figure below, m∠1 = 50°. find m∠2.

Explanation:

Step1: Identify angle - relationship

The two angles ∠1 and ∠2 are complementary (form a right - angle).

Step2: Use the complementary - angle formula

Complementary angles satisfy $m\angle1 + m\angle2=90^{\circ}$. Given $m\angle1 = 50^{\circ}$, we can solve for $m\angle2$.
$m\angle2=90^{\circ}-m\angle1$
$m\angle2 = 90 - 50$

Answer:

$40$