Question

△qrs ~ △hig. what is m∠q?

m∠q = \square°

Explanation:

Step1: Recall Similar Triangles Property

Similar triangles have corresponding angles equal. So, \( \triangle QRS \sim \triangle HIG \) implies \( \angle Q \) corresponds to \( \angle H \), \( \angle R \) corresponds to \( \angle I \), and \( \angle S \) corresponds to \( \angle G \).

Step2: Identify Corresponding Angle

From the diagram, \( \angle H = 90^\circ \). Since \( \angle Q \) corresponds to \( \angle H \) (because of similarity), \( m\angle Q = m\angle H \).

Answer:

\( 90 \)