Question

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

Explanation:

Step1: Recall the sum of interior angles of a quadrilateral

The sum of the interior angles of a quadrilateral is \(360^{\circ}\).

Step2: Set up the equation

Let \(\angle K = x\). Then \(x + 78^{\circ}+118^{\circ}+46^{\circ}=360^{\circ}\).

Step3: Solve for \(x\)

Simplify the left - hand side: \(x+(78 + 118+46)^{\circ}=x + 242^{\circ}\).
So, \(x+242^{\circ}=360^{\circ}\).
Subtract \(242^{\circ}\) from both sides: \(x=360^{\circ}-242^{\circ}\).
\(x = 118^{\circ}\).

Answer:

\(118^{\circ}\) (the second option)