Question

what is the value of n?

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. So the angle opposite to the \(63^{\circ}\) angle is also \(63^{\circ}\).

Step2: Set up an equation for the sum of angles

The sum of the angles \(n\), \(25^{\circ}\), and the vertical - angle of \(63^{\circ}\) (which is \(63^{\circ}\)) on a straight - line (or around a point where the sum of adjacent angles is considered) gives \(n + 25^{\circ}+63^{\circ}=180^{\circ}\) (since the sum of angles around a point is \(360^{\circ}\), but here we can consider a linear - pair related concept as the angles are adjacent).

Step3: Solve for \(n\)

$$
LATEXBLOCK0
$$

Answer:

\(92\)