Which statement justifies that angle XAB is congruent to angle ABC?A. Corresponding angles of parallel lines cut by a transversal are congruent. B. Vertical angles are congruent. C. Same-side interior angles of parallel lines cut by a transversal are supplementary. D. Alternate interior angles of parallel lines cut by a transversal are congruent.Given: m || CBProve: m∠ABC + m∠BAC + m∠ACB = 180°

Answer:(D)Step-by-step explanation:It is given that m || CB  as m is the straight line, therefore using the straight line property, we have∠YAC+∠CAB+∠XAB=180°                       (1)Since, m is parallel to BC and AB is transversal, thus∠XAB=∠ABC(Alternate interior angles of parallel lines cut by a transversal are congruent)and ∠YAC=∠ACB(Alternate interior angles of parallel lines cut by a transversal are congruent.)Now, substituting the values of ∠XAB and ∠YAC in equation (1), we have∠ABC + ∠BAC + ∠ACB = 180°.Hence proved.Thus, option (D) is correct.