Question

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

Explanation:

Step1: Recall the sum of interior angles of a quadrilateral

The sum of the interior angles of a quadrilateral is \(360^{\circ}\). Let \(\angle K=x\). Then, according to the angle - sum formula for quadrilaterals, we have \(x + 78^{\circ}+118^{\circ}+46^{\circ}=360^{\circ}\).

Step2: Solve for \(x\)

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

Answer:

\(118^{\circ}\)