Steps of construction:
1. Construct ∠BQR = 60°
2. Draw the bisector to ∠BQR which is \(\overset\longrightarrow{QC}\)
3. Now, ∠CQR = \(\frac{60°}{2}\) = 30°
4. Draw the bisector \(\overset\longrightarrow{QP}\) to ∠CQR.
5. ∠PQR = \(\frac{1}{2}\) x 30° = 15° (Q.E.D)