1. **State the problem:** We are given the interior angles of a polygon and need to find the unknown angle $t$. 2. **Recall the formula for the sum of interior angles of a polygon:** $$\text{Sum of interior angles} = (n-2) \times 180^\circ$$ where $n$ is the number of sides of the polygon. 3. **Count the number of sides:** There are 10 angles given (including $t$), so $n=10$. 4. **Calculate the sum of all interior angles:** $$ (10-2) \times 180^\circ = 8 \times 180^\circ = 1440^\circ $$ 5. **Sum the known angles:** $$130^\circ + 170^\circ + 130^\circ + 150^\circ + 160^\circ + 150^\circ + 120^\circ + 145^\circ + 135^\circ = 1290^\circ$$ 6. **Set up the equation to find $t$:** $$ t + 1290^\circ = 1440^\circ $$ 7. **Solve for $t$:** $$ t = 1440^\circ - 1290^\circ = 150^\circ $$ **Final answer:** $$ t = 150^\circ $$