1. Problem: Given parallelogram MASK, find KS if MA = 9. Step 1: Recall that in a parallelogram, opposite sides are equal. Step 2: Since MA and KS are opposite sides, $KS = MA = 9$. 2. Problem: Find FK if AF = 4. Step 1: F is the intersection of diagonals in parallelogram MASK. Step 2: Diagonals bisect each other, so $AF = FK = 4$. 3. Problem: Find SM if FM = 7. Step 1: Since F bisects diagonal MS, $FM = SM = 7$. 4. Problem: Find $m \angle MKS$ if $m \angle MAS = 80^\circ$. Step 1: Opposite angles in a parallelogram are equal. Step 2: $m \angle MKS = m \angle MAS = 80^\circ$. 5. Problem: Find $m \angle AMK$ if $m \angle ASK = 125^\circ$. Step 1: Adjacent angles in a parallelogram are supplementary. Step 2: $m \angle AMK + m \angle ASK = 180^\circ$. Step 3: $m \angle AMK = 180^\circ - 125^\circ = 55^\circ$. 6. Problem: Find SA if MK = 10. Step 1: Opposite sides are equal. Step 2: $SA = MK = 10$. 7. Problem: Find $m \angle MKS$ if $m \angle AMK = 107^\circ$. Step 1: Opposite angles are equal. Step 2: $m \angle MKS = m \angle AMK = 107^\circ$. 8. Problem: Find MK if $AM=11$, $MS=15$, and $AS=7$. Step 1: In parallelogram MASK, $MK$ is opposite to $AS$. Step 2: $MK = AS = 7$. 9. Problem: Find MA if $MK=10$, $KS=21$, and $SM=11$. Step 1: Opposite sides are equal. Step 2: $MA = KS = 21$. 10. Problem: Find $m \angle MAS$ if $m \angle MKA = 68^\circ$ and $m \angle MAK = 40^\circ$. Step 1: In triangle MAK, sum of angles is $180^\circ$. Step 2: $m \angle MAS = 180^\circ - 68^\circ - 40^\circ = 72^\circ$. Final answers: 1. $KS=9$ 2. $FK=4$ 3. $SM=7$ 4. $m \angle MKS=80^\circ$ 5. $m \angle AMK=55^\circ$ 6. $SA=10$ 7. $m \angle MKS=107^\circ$ 8. $MK=7$ 9. $MA=21$ 10. $m \angle MAS=72^\circ$