Question

1. the given triangles are similar.

fill in the blanks to match the corresponding angles.
\\( \angle r \\) corresponds to \\( \angle \\)
\\( \angle t \\) corresponds to \\( \angle \\)
\\( \angle s \\) corresponds to \\( \angle \\)

Explanation:

Step1: Recall the property of similar triangles

In similar triangles, corresponding angles are equal.

Step2: Match the angles

• In \(\triangle WYX\) and \(\triangle SRT\), \(\angle R\) corresponds to \(\angle X\) (as they are in the same relative position in the similar triangles).
• \(\angle T\) corresponds to \(\angle W\) (same relative position).
• \(\angle S\) corresponds to \(\angle Y\) (same relative position).

Answer:

\(\angle R\) corresponds to \(\angle X\), \(\angle T\) corresponds to \(\angle W\), \(\angle S\) corresponds to \(\angle Y\)