HELP 100 points Complete the reasons for the proof. Given:
m 3 = m 4

Prove:
1, 2 are supplementary

STATEMENT REASON
1. m 3 = m 4 1.
2. 2, 3 are supplementary 2.
sides in
rays
3. m 2 + m 3 = 180º 3. Definition of
angles
4. m 2 + m 4 = 180º 4. Substitution
5. m 1 = m 4 5. Opposite
are
6. m 2 + m 1 = 180º 6.
7. 1,2 are supplementary 7. Definition of
angles

dont mind meh idk

Step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.