The triangles STU and VWU are not similar.
In this question, we are given the information about the angles in triangles STU and VWU.
The angles given are angle TSU = WVU = 90 degrees, angle TUS = 42 degrees, and angle UEV = 58 degrees.
To determine if the triangles are similar, we need to compare the corresponding angles of the triangles.
First, we see that angle TSU = angle WVU = 90 degrees in both triangles.
Next, we compare angle TUS in triangle STU to angle UEV in triangle VWU.
If angle TUS is congruent to angle UEV, then the triangles are similar. In this case, angle TUS = 42 degrees and angle UEV = 58 degrees, which are not congruent.
Therefore, the statement that is true is Triangle STU is not similar to AVWU.
The probable question may be:
STU and VWU are shown below. Which statement is true?
angle TSU=WVU=90 degree, angle TUS=42 degree, angle UEV=58 degree.
Which statement is true?
A. triangle STU is similar to AVWU.
B. triangle STU is not similar to AVWU.
C. There is not enough information to determine whether the triangles are similar.