Question

in the figure below, m∠2 = 140°. find m∠1. m∠1 = °

Explanation:

Step1: Identify angle - relationship

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

Step2: Use supplementary - angle formula

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

Step3: Solve for $m\angle1$

$m\angle1=180^{\circ}-m\angle2$. Given $m\angle2 = 140^{\circ}$, then $m\angle1=180 - 140$.

Answer:

$40$