Given: Line segment A B is parallel to line segment D C and Measure of angle 2 equals measure of angle 4 Prove: Line segment A D
is parallel to line segment B C A parallelogram has points A B C D. Angle D A B is angle 1, Angle A B C is angle 2, Angle B C D is angle 3, and angle C D A is angle 4. A 2-column table with 7 rows. Column 1 is labeled statements and has entries line segment A B is parallel to line segment D C, measure of angle 2 = measure of angle 4, angle 1 and angle 4 are supplements, question mark, measure of angle 1 measure of angle 2 = 180 degrees, angle 1 and angle 2 are supplements, line segment A D is parallel to line segment B C. Column 2 is labeled reasons with entries given, given, same side interior angles theorem, definition of supplementary angles, substitution, definition of supplementary angles, converse same side interior angles theorem. M∠1 = m∠4 m∠2 = m∠3 m∠1 m∠4 = 180° m∠2 m∠3 = 180°.
