Question

what is the value of p? p = □ °

Explanation:

Step1: Apply angle - bisector theorem

Since the two right - angled triangles have a common side (the line from \(X\) to \(V\) and \(X\) to \(W\) are equal as indicated by the red marks), and the right - angles, we can say that the angles \((p + 60)^{\circ}\) and \(6p^{\circ}\) are equal. So we set up the equation \(p+60 = 6p\).

Step2: Solve the equation for \(p\)

Subtract \(p\) from both sides of the equation: \(60=6p - p\).
Simplify the right - hand side: \(60 = 5p\).
Divide both sides by 5: \(p=\frac{60}{5}=12\).

Answer:

\(12\)