Question

write a similarity statement.
△ ~ △

Explanation:

Step1: Identify corresponding angles

In \(\triangle D E\) and \(\triangle T S U\), \(\angle D = 33^{\circ}\), \(\angle T=33^{\circ}\), \(\angle E = 51^{\circ}\), \(\angle U = 51^{\circ}\)

Step2: Apply AA similarity criterion

Since two pairs of corresponding angles are equal (\(\angle D=\angle T\) and \(\angle E=\angle U\)), by the AA (Angle - Angle) similarity criterion, the triangles are similar.

Step3: Write similarity statement

The order of the letters in the similarity statement corresponds to the order of the equal angles. So \(\triangle D E\sim\triangle T S U\)

Answer:

\(\triangle D E\sim\triangle T S U\)