Question

in the figure below, m∠2 = 30°. find m∠1.

Explanation:

Step1: Identify angle - relationship

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

Step2: Recall supplementary - angle property

Supplementary angles add up to $180^{\circ}$, so $m\angle1 + m\angle2=180^{\circ}$.

Step3: Solve for $m\angle1$

$m\angle1=180^{\circ}-m\angle2$.
Substitute $m\angle2 = 30^{\circ}$ into the equation: $m\angle1=180 - 30$.
$m\angle1 = 150^{\circ}$

Answer:

$150$