Final answer:
The length of WX in triangle VWX is 13 units.
Step-by-step explanation:
In triangle VWX, if angle W is congruent to angle V, XV = 13, and VW = 8, we can use the Law of Sines to find the length of WX.
The Law of Sines states that for any triangle, the ratio of the sine of an angle to the length of the side opposite that angle is constant. In this case, we can set up the following equation:
sin(W) / XV = sin(V) / WX
Substituting the known values, we get:
sin(W) / 13 = sin(V) / WX
We know that angle W is congruent to angle V, so we can rewrite the equation as:
sin(W) / 13 = sin(W) / WX
Cross-multiplying, we get:
sin(W) * WX = sin(W) * 13
Dividing both sides by sin(W), we find:
WX = 13
Therefore, the length of WX is 13 units.