Question

what is the value of k?

Explanation:

Step1: Determine the total angle

The total angle around a point on a straight line is \(180^{\circ}\).

Step2: Set up the equation

Let \(k\) be the unknown angle. We know that \(84^{\circ}+30^{\circ}+k = 180^{\circ}\).

Step3: Solve for \(k\)

First, add \(84^{\circ}\) and \(30^{\circ}\): \(84 + 30=114\). Then, \(k=180 - 114\).

Answer:

\(66\)