figure jklm is a kite. what is the measure of angle k? 102° 118° 134° 156°

Explanation:

Step1: Recall angle - sum property of a quadrilateral

The sum of the interior angles of a quadrilateral is $360^{\circ}$. Let $\angle J = 78^{\circ}$, $\angle L=46^{\circ}$, $\angle M = 118^{\circ}$, and $\angle K=x$. Then $\angle J+\angle K+\angle L+\angle M=360^{\circ}$.

Step2: Substitute the known values

$78^{\circ}+x + 46^{\circ}+118^{\circ}=360^{\circ}$.

Step3: Simplify the left - hand side

$(78^{\circ}+46^{\circ}+118^{\circ})+x=360^{\circ}$, $242^{\circ}+x = 360^{\circ}$.

Step4: Solve for $x$

$x=360^{\circ}-242^{\circ}=118^{\circ}$.

Answer:

$118^{\circ}$