Question

in the figure below, m∠1 = 69°. find m∠2.

Explanation:

Step1: Identify angle - relationship

$\angle1$ and $\angle2$ are complementary angles (assuming the vertical line and the horizontal - like line are perpendicular). Complementary angles sum to 90°.

Step2: Calculate $m\angle2$

$m\angle2=90^{\circ}-m\angle1$. Given $m\angle1 = 69^{\circ}$, then $m\angle2=90 - 69$.
$m\angle2 = 21^{\circ}$

Answer:

$21$