Question

in the figure below, m∠1 = 143°. find m∠2.

Explanation:

Step1: Identify angle - relationship

$\angle1$ and $\angle2$ are supplementary angles. Supplementary angles add up to 180°.

Step2: Set up the equation

Let $m\angle2 = x$. Then $m\angle1+x = 180^{\circ}$.

Step3: Substitute the value of $m\angle1$

Given $m\angle1 = 143^{\circ}$, we have $143^{\circ}+x = 180^{\circ}$.

Step4: Solve for $x$

$x=180^{\circ}- 143^{\circ}=37^{\circ}$.

Answer:

$37$