Use a paragraph, flow chart, or two-column proof to prove the angle congruency. Given: ∠CXY ≅ ∠BXY ∠CAX ≅ ∠BAX ("AC" ) ≅ ("AB" )
Prove: ∠XCY ≅ ∠XBY

1. cxy = bxy and cax = bax      |      given
                                    ax = ax      |      reflexive propoerty
    triangle cax = triangle bax      |      sas property of equality
                                    cx = bx      |      congruent parts of congruent triangle are =
                                    xy = xy      |      reflexive property
                                xcy = xby      |      sas property of equality

hope this =)