Question

1. in the diagram of the boat harbor, ( mangle 1 = 90^{circ} ). find ( mangle 2 )? state the theorem or postulate you used? ( mangle 2= ) theorem or postulate:

Explanation:

Step1: Identify the relationship between ∠1 and ∠2

Since the two lines are parallel (the sides of the boat harbor sections), and we have a transversal (the line forming the angles). ∠1 and ∠2 are corresponding angles.

Step2: Apply the corresponding angles postulate

If two parallel lines are cut by a transversal, then corresponding angles are congruent. So \(m\angle2=m\angle1\)

Answer:

\(m\angle2 = 90^{\circ}\). Theorem or postulate: Corresponding Angles Postulate.