1. **Problem a:** Find the measures of the numbered angles in the isosceles trapezoid with one angle given as 66°. 2. **Step 1:** Recall that in an isosceles trapezoid, the base angles are congruent. 3. **Step 2:** Given angle 1 is 66°, angle 3 (opposite base angle) is also 66°. 4. **Step 3:** Adjacent angles between parallel sides are supplementary, so angle 2 and angle 1 add to 180°. 5. **Step 4:** Calculate angle 2: $$180^\circ - 66^\circ = 114^\circ$$. 6. **Step 5:** Angle 2 and angle 3 are congruent, so angle 2 = 114°. 7. **Answer a:** Angle 1 = 66°, angle 2 = 114°, angle 3 = 66°. --- 8. **Problem d:** Find midsegment EF of trapezoid ABCD where AB=6 and DC=13. 9. **Step 1:** Midsegment formula: $$EF = \frac{AB + DC}{2}$$. 10. **Step 2:** Substitute values: $$EF = \frac{6 + 13}{2} = \frac{19}{2} = 9.5$$. 11. **Answer d:** EF = 9.5. --- 12. **Problem h:** Find area of kite ABCD with diagonals CA=12 cm and BD=6 cm. 13. **Step 1:** Area of kite formula: $$Area = \frac{1}{2} \times d_1 \times d_2$$ where $d_1$ and $d_2$ are diagonals. 14. **Step 2:** Substitute values: $$Area = \frac{1}{2} \times 12 \times 6 = 36$$. 15. **Answer h:** Area = 36 cm². --- 16. **Problem 1 (kite):** Name pairs of congruent adjacent sides. 17. **Answer 1:** Sides AB = AD and BC = CD. --- 18. **Problem 2:** If AD=8, then AB = 8 (congruent sides). 19. **Problem 3:** If CB=15.5, then CD = 15.5. 20. **Problem 4:** Area with DB=9 and AC=12: $$Area = \frac{1}{2} \times 9 \times 12 = 54$$. 21. **Problem 5:** If $m\angle 1 = 63^\circ$, then $m\angle 2 = 63^\circ$ (congruent angles). 22. **Problem 6:** If $\angle DCB = 39^\circ$, then $\angle ACB = 39^\circ$ (congruent angles). 23. **Problem 7:** If $\angle 3 = 70^\circ$, then $\angle CDA = 70^\circ$. 24. **Problem 8:** If $\angle DAC = 54^\circ$, then $\angle BAC = 54^\circ$. 25. **Problem 9:** Diagonal AC is perpendicular to diagonal BD. 26. **Problem 10:** Area of kite is half the product of its diagonals.