Question

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

Explanation:

Step1: Identify angle - relationship

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

Step2: Use complementary - angle formula

If two angles ∠1 and ∠2 are complementary, then $m\angle1 + m\angle2=90^{\circ}$.

Step3: Solve for m∠1

Given $m\angle2 = 50^{\circ}$, we substitute into the formula: $m\angle1=90^{\circ}-m\angle2$.
$m\angle1 = 90^{\circ}-50^{\circ}=40^{\circ}$

Answer:

$40$