Question

In this figure prove that cd//ef​

Answer 1

Answer:

1) 36 + 50 = 86 : Addition property of equality

2) m<D = m<ADB : If two angles have the same measure, then they are equal.

3) <D congruent to <ADB : if two angle are equal, then they are congruent.

4) <D, <ADB are alternate interior angles: assumed from diagram

5) CD // AB : if alternate interior angles are congruent, then the 2 lines cut by a transversal are //.

6) 130 + 50 = 180 : addition property of equality

7) m<E, m<BAE are supplements : if the sum of two angles equal to 180, then they are supplements.

8) <E, <BAE are same-side interior angles : assumed from diagram

9) EF // AB : if same-side interior angles are supplements, then the 2 lines cut by a transversal are //.

10) CD // EF : if two lines are // to the same line, then they are //.

im pretty sure this is the proof