Given two triangles △ABC and △A′B′C′ so that AB = A'B′ (Side), m∠A = m∠A′ (Angle), AC = A ′ C ′(Side). Then the triangles are congruent. USE STATEMENTS AND REASONS

Abilliard ball is struck by a cue. it travels 1 0 0 cm 100cm before ricocheting off a rail and traveling another 1 2 0 cm 120cm into a corner pocket. the angle between the path as the ball approaches the rail and the path after it strikes the rail is 4 5 ∘ 45 ∘ . how far is the corner pocket from where the cue initially struck the ball? do not round during your calculations. round your final answer to the nearest centimeter.