Question

geo 4.0 angles
read the passage and answer the following question(s).
question 1.
given p || q and t is a transversal, which of the following justifies ∠1 ≅ ∠5?
a. corresponding angles postulate
b. alternate interior angles theorem
c. consecutive interior angles theorem
d. alternate exterior angles theorem

Explanation:

Step1: Recall angle - pair relationships

When two parallel lines \(P\) and \(Q\) are cut by a transversal \(T\), corresponding angles are in the same relative position with respect to the parallel lines and the transversal.

Step2: Identify the angle - pair

\(\angle1\) and \(\angle5\) are in the same relative position. One is above the top - parallel line and to the left of the transversal, and the other is above the bottom - parallel line and to the left of the transversal.

Answer:

A. Corresponding Angles Postulate