Question

what is the value of q?

Explanation:

Step1: Use the property of vertical angles

The sum of the angles around a point is \(360^{\circ}\). But if we assume the figure is about adjacent angles forming a straight - line (assuming the two non - labeled angles are vertical angles and the sum of adjacent angles on a line is \(180^{\circ}\)). Let's assume the two non - labeled angles are vertical angles. If we consider the fact that the sum of angles on a straight line is \(180^{\circ}\).
We know that \(q + 57.1^{\circ}+41.1^{\circ}=180^{\circ}\) (assuming the three angles form a straight line).

Step2: Solve for \(q\)

$$
LATEXBLOCK0
$$

Answer:

\(81.8\)