Question

in the figure below, m∠1 = 56°. find m∠2.

Explanation:

Step1: Identify angle - relationship

$\angle1$ and $\angle2$ are complementary angles (sum to 90°).

Step2: Calculate $m\angle2$

$m\angle2 = 90^{\circ}-m\angle1$
Since $m\angle1 = 56^{\circ}$, then $m\angle2=90 - 56$.
$m\angle2 = 34^{\circ}$

Answer:

$34$