Question

in the figure below, m∠2 = 49°. find m∠1. m∠1 =

Explanation:

Step1: Identify angle - relationship

$\angle1$ and $\angle2$ are complementary (form a right - angle).

Step2: Use complementary - angle formula

If two angles $\angle1$ and $\angle2$ are complementary, then $m\angle1 + m\angle2=90^{\circ}$. Given $m\angle2 = 49^{\circ}$, we can find $m\angle1$ as $m\angle1=90^{\circ}-m\angle2$.

Step3: Calculate $m\angle1$

$m\angle1 = 90 - 49=41^{\circ}$

Answer:

$41$