Question

in the figure below, m∠1 = 39°. find m∠2.

Explanation:

Step1: Identify angle - relationship

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

Step2: Use complementary - angle formula

Complementary angles add up to $90^{\circ}$, so $m\angle2=90^{\circ}-m\angle1$.

Step3: Substitute the value of $\angle1$

Given $m\angle1 = 39^{\circ}$, then $m\angle2=90^{\circ}- 39^{\circ}$.

Step4: Calculate the result

$m\angle2 = 51^{\circ}$.

Answer:

$51$