Question

which statement is true? △stu is similar to △wvu. △stu is not similar to △wvu. there is not enough information to determine whether the

Explanation:

Step1: Check for vertical angles

Vertical angles are equal. So, \(\angle STU=\angle WVU\) (vertical angles).

Step2: Check for right angles

One triangle has a right - angle (in \(\triangle WVU\) at \(V\)), and assume the other triangle (if it's a right - triangle, which is a common case in such geometric set - ups with the given angle markings and the way the lines are drawn). Also, we have one pair of equal angles (\(46^{\circ}\) angles if we consider the angle - angle similarity criterion).
By the AA (angle - angle) similarity criterion (if two angles of one triangle are equal to two angles of another triangle, the triangles are similar).

Answer:

\(\triangle STU\) is similar to \(\triangle WVU\)