Question

m∠1 = 114°
m∠2 = 114°
tell which postulates or theorems you used.
postulates
theorem
:: two pair postulate
:: linear pair postulate
:: corresponding angles theorem
:: alternate interior angles theorem

Explanation:

Step1: Identify angle - relationship

If angle 1 and angle 2 have the same measure and we assume they are corresponding angles formed by a transversal intersecting two parallel lines.

Step2: Select - relevant theorem

The Corresponding Angles Theorem states that if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

Answer:

Postulates: None
Theorem: Corresponding Angles Theorem