Final answer:
Triangle ABC and Triangle YXW can be determined as similar using the Angle-Angle (AA) similarity postulate. The length of AC cannot be determined with the given information.
Step-by-step explanation:
To determine whether Triangle ABC is similar or congruent to Triangle YXW, we need to compare their corresponding angles and side lengths.
For Triangle ABC to be similar to Triangle YXW, the corresponding angles must be congruent, and the corresponding side lengths must have a proportional relationship. The Angle-Angle (AA) similarity postulate can be used to prove that two triangles are similar if two corresponding angles are congruent. If Triangle ABC has angle A congruent to angle Y and angle B congruent to angle X, then Triangle ABC is similar to Triangle YXW.
To find the length of AC, we can use the fact that Triangle ABC is similar to Triangle YXW. If we know the ratio of corresponding side lengths in the similar triangles, we can set up a proportion to solve for AC. However, the provided information does not include the necessary information to find this ratio, so we cannot determine the length of AC.