Question

if m∠mrj = 116°, then what is m∠mrk?

Explanation:

Step1: Identify supplementary angles

$\angle MRJ$ and $\angle MRK$ are supplementary angles. Supplementary angles add up to $180^{\circ}$.

Step2: Set up the equation

Let $m\angle MRK = x$. Then $m\angle MRJ+x = 180^{\circ}$.
We know $m\angle MRJ = 116^{\circ}$, so $116^{\circ}+x=180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}- 116^{\circ}$.
$x = 64^{\circ}$.

Answer:

$64^{\circ}$