Given: < 1, < 2, < 3, and < 4 are formed by two intersecting segments. prove: < 2 and < 4 are congruent. drag the answers into boxes to correctly complete the proof.

Step-by-step explanation:

Given : ∠3 and ∠4 forms a linear pair

∠2 and ∠3 forms a linear pair

Two angles that forms a linear pair at supplementary. 'the linear pair postulate'

Sum of two angles of linear pair = 180 degree

∠3 + ∠4 = 180                           linear pair postulate

Also ∠2 + ∠3 = 180       because it is a linear pair

Now substitute ∠2 + ∠3 for 180 in the above equation

∠2 + ∠3   = ∠3 + ∠4                        Substitution property of equality

Cancel out angle 3 on both sides

so              ∠4 = ∠2                   Substitution property of equality

1. minimum

2. 6400

3. eight

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