Fifty points! asap! due in a few minutes! just fill in the . . . . . . . . . provide reasons for the proof. given: ∠2 ≅ ∠4 and ∠2 and ∠3 are supplementary prove: ∠1 ≅ ∠3

This proof involves the definitions of congruence and supplementary angles, as well as some of the properties of equality.

∠1 and ∠2 are supplementary    // given

∠3 and ∠4 are supplementary    // given

∠1 ≅ ∠3    // given

m∠1 + m∠2 = 180°    // definition of supplementary angles

m∠3 + m∠4 = 180°    // definition of supplementary angles

m∠1 + m∠2 = m∠3 + m∠4    // transitive property of equality

m∠1 = m∠3    // definition of congruent angles

m∠1 + m∠2 = m∠1 + m∠4    // substitution property of equality (replaced m∠3 with m∠1)

m∠2 = m∠4    // subtraction property of equality (subtracted m∠1 from both sides)

∠2 ≅ ∠4    // definition of congruent angles

hope this helps

Step-by-step explanation:

For the future students who need answer to this problem

Step-by-step explanation:

5. given

7.  Transitive property of equality

8.  Substitution Property

9.  Subtraction Property of Equality

10.  Converse of Angles Congruent Postulate

I am writing this test now and these are the answers I put in. It hasn't been graded yet but I'm pretty sure that they are correct. But pls lmk if anything is wrong. HOPE THIS HELPS

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i think the answer is seven, for if i'm being useless °ω°

step-by-step explanation:

5050

hope this !