Question

angle measures complete the statement given that s ⊥ t. 30. m∠2 = ?

Explanation:

Step1: Recall perpendicular - line property

Since \(s\perp t\), the angle formed by \(s\) and \(t\) is \(90^{\circ}\).

Step2: Use vertical - angle relationship

\(\angle2\) and \(\angle6\) are vertical angles. Vertical angles are congruent. And \(\angle5 + \angle6=90^{\circ}\), and \(\angle2\) and \(\angle6\) have the same measure. So \(m\angle2 = 45^{\circ}\)

Answer:

\(45^{\circ}\)