Question

what is the value of k?

Explanation:

Step1: Recall supplementary - angle property

Two angles that form a straight - line are supplementary, and their sum is 180°.

Step2: Set up the equation

Let the two angles be \(k\) and 114°. So, \(k + 114^{\circ}=180^{\circ}\).

Step3: Solve for \(k\)

Subtract 114° from both sides of the equation: \(k=180^{\circ}- 114^{\circ}\).
\(k = 66^{\circ}\)

Answer:

66