which segments are parallel? Select each correct answer. AB CD GH EF

Answer:AB ║ CD AB ║ EFStep-by-step explanation:For line segments AB and CD,In the figure attached,m∠IAB = 42° and m∠IDC = 42°Therefore, ∠IAB = ∠IDCThese angles are formed by line segments AB, CD and a transverse AD, and these angles are the alternate angles.Therefore, the line segments AB and CD are parallel.For Line segments GH and EF,If EF and GH are parallel and AD is a transverse, ∠FEI should be equal to ∠IHG [ Alternate angles]But m∠FEI = 180° - 138°                   = 42°and m∠IHG = 180° - 122°                    = 58°Therefore, ∠IHG ≠ ∠FEI Therefore, line segments EF and GH are not parallel.For AB and EF,If these segments are parallel then m∠EAB + m∠AEF = 180° [Internal angles formed by parallel lines and a transverse AD]Since m∠EAB = 42° and m∠AEF = 138°Therefore, 42° + 138° = 180°Which proves that Line segments AB and EF are parallel.For line segments GH and CDIf GH and CD are parallel then m∠CDH + m∠GHD = 180° [[Internal angles formed by parallel lines GH and CD and a transverse AD]Given, m∠CDH = 42° and m∠GHD = 122°Therefore, m∠CDH + m∠GHD = 42° + 122° = 164°Which shows line segments GH and CD are not parallel.