Question

what is the value of q?

Explanation:

Step1: Recall the property of angles around a point

The sum of angles around a point on a straight - line is \(180^{\circ}\).

Step2: Set up the equation

Let the three angles be \(56^{\circ}\), \(q\), and \(93^{\circ}\). Then \(56 + q+93=180\).

Step3: Simplify the left - hand side of the equation

\(56 + 93+q=149 + q\). So, \(149 + q=180\).

Step4: Solve for \(q\)

Subtract \(149\) from both sides of the equation: \(q=180 - 149\).

Answer:

\(31\)