1. Restate the Vertical Angles Theorem (Theorem 3.5.13) in if-then form. Prove the theorem

2. Prove the following converse to the Vertical Angles Theorem: If A, B, C, D, and E are points such that A ∗ B ∗ C, D and E are on opposite sides of ('AB , and jDBC  jABE, then D, B, and E are collinear.