186k views
4 votes
In this figure prove that cd//ef​

In this figure prove that cd//ef​-example-1
User Lajosdeme
by
8.2k points

1 Answer

1 vote

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

User Semirturgay
by
6.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories