Question: 10. Draw and label adjacent angles $ABC$ and $CBD$. 11. Draw and label angles $PQR$ and $SQT$ so that they share the vertex $Q$ but are not adjacent angles. Name two other angles formed in your drawing.

1. **Problem 10:** Draw and label adjacent angles $ABC$ and $CBD$. 2. **Explanation:** Adjacent angles share a common vertex and a common side but do not overlap. 3. **Drawing:** Angles $ABC$ and $CBD$ share vertex $B$ and side $BC$. 4. **Problem 11:** Draw and label angles $PQR$ and $SQT$ sharing vertex $Q$ but not adjacent. 5. **Explanation:** Angles $PQR$ and $SQT$ share vertex $Q$ but do not share a common side, so they are not adjacent. 6. **Other angles formed:** In the drawing, angles $PQT$ and $SQR$ are also formed. Final answers: - Adjacent angles: $ABC$ and $CBD$ share vertex $B$ and side $BC$. - Non-adjacent angles sharing vertex $Q$: $PQR$ and $SQT$. - Other angles formed: $PQT$ and $SQR$.