Lorelei

Mathematics

11 August, 11:09

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

Statements: 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

reasons : entries given, given, same side interior angles theorem, definition of supplementary angles, substitution, definition of supplementary angles, converse same side interior angles theorem.

A. m∠1 = m∠4

B. m∠2 = m∠3

C. m∠1 + m∠4 = 180°

D. m∠2 + m∠3 = 180°