Question

triangle shw is similar to triangle ari, such that s, h, and w correspond to a, r, and i, respectively. given that the measure of ∠w = 40° and 3sh = ar, what is the measure of ∠i ? 3° 20° 40° 80°

Explanation:

Step1: Recall Similar Triangles Property

In similar triangles, corresponding angles are equal. Since triangle \( SHW \) is similar to triangle \( ARI \), and \( W \) corresponds to \( I \) (as \( S, H, W \) correspond to \( A, R, I \) respectively), the measure of \( \angle I \) should be equal to the measure of \( \angle W \).

Step2: Determine \( \angle I \)

Given \( \angle W = 40^\circ \), by the property of similar triangles (corresponding angles are equal), \( \angle I=\angle W = 40^\circ \).

Answer:

\( 40^\circ \) (the option with \( 40^\circ \))