Final answer:
To find the value of x in △HYV and △AYB, we can use the AA similarity theorem and the properties of similar triangles.
Step-by-step explanation:
To find the value of x in △HYV and △AYB, we can use the AA similarity theorem. According to the AA similarity theorem, if two triangles have two pairs of corresponding angles that are congruent, then the triangles are similar.
In this case, we have △HYV and △AYB, and we know they are similar by the AA similarity theorem. To find the value of x, we need to find the corresponding angle between △HYV and △AYB.
Once we find the corresponding angle, we can use the properties of similar triangles to find the value of x.