Question

in the figure below, m∠1 = 126°. find m∠2.

Explanation:

Step1: Identify angle - relationship

$\angle1$ and $\angle2$ are supplementary angles (form a linear - pair). Supplementary angles add up to 180°.

Step2: Set up the equation

Let $m\angle1 = 126^{\circ}$ and $m\angle2=x$. Then $m\angle1 + m\angle2=180^{\circ}$, so $126^{\circ}+x = 180^{\circ}$.

Step3: Solve for $m\angle2$

$x=180^{\circ}- 126^{\circ}$.
$x = 54^{\circ}$.

Answer:

$54$