Question

Match the reasons with the statements in the proof to prove DF = EF, given that DEF is a triangle by definition and angles 3 and 4 are equal.

Given:
DEF
3 = 4
Prove:
DF = EF

1. 3 = 4
Exterior Sides are in Opposite Rays
2. 1 and 3are supplementary
2 and 4are supplementary
If the Two Angles of a Triangle are Equal, then the Sides Opposite those Angles are also Equal
3. 1 = 2
Two Angles Supplementary to Equal Angles are Equal to Each Other
4. DF = EF
Given

Answer 1

In Δ DEF, ∠3=∠4.

To prove:→ DE=E F

Proof:

1. ∠3=∠4

Answer 2

@thegoat thank you