Question

Complete the proof by filling in the missing reasons for six steps using the word wall answers from below the proof.
Given m<1=m<2
Prove AC BD
( They gave us the first word "given")

Answer 1

m∠1 = m∠2                                    Given

∠1 is supplementary to ∠2           If two angles form a linear pair,

                                                      they are supplementary

m∠1 + m∠2 = 180°                         Supplementary angles have sum 180°

m∠1 + m∠1 = 180°                          A quantity may be substituted

                                                      for its equal

  2(m∠1) = 180°                             Definition of like terms

     m∠1 = 90°                               Halves of equal quantities are

                                                     equal

 ∠1 is a right angle                      Definition of a right angle is one

                                                     whose measure is 90°

   AB ⊥ ED                                   Definition of perpendicular

                                                     lines.