Question

106° (6x - 16)°

Explanation:

Step1: Use the straight - angle property

The sum of angles on a straight line is \(180^{\circ}\). So, \(106+(6x - 16)=180\).

Step2: Simplify the left - hand side of the equation

\(106+6x-16 = 6x+(106 - 16)=6x + 90\). The equation becomes \(6x+90 = 180\).

Step3: Solve for \(x\)

Subtract \(90\) from both sides: \(6x+90-90=180 - 90\), which gives \(6x=90\). Then divide both sides by \(6\): \(x=\frac{90}{6}\).

Answer:

\(x = 15\)