Statements Reasons
Given: Z1 and 22 are supplements,
23 and 24 are supplements,
and 21 24.
Prove: 22 23
m21+ m2 = 180
mZ3+ m 24 = 180
21 and 22 are
.
2124
m21+ m2 2 = m 23+
m24
23 and 24 are supp
1
Statements
Reasons
3
2.
2
1
Assemble the proof by dragging tiles to
the Statements and Reasons columns.


Statements Reasons Given Z1 and 22 are supplements 23 and 24 are supplements and 21 24 Prove 22 23 m21 m2 180 mZ3 m 24 180 21 and 22 are 2124 m21 m2 2 m 23 m24 class=

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The proof that m∠2 = m∠3 in the two column proof table is; shown in the various steps and concludes with subtraction property of equality

How to complete the two column proof?

We are given;

∠1 and ∠2 are supplements

∠3 and ∠4 are supplements

∠1 ≅ ∠4

Now, since ∠1 and ∠2 are supplements, it means that;

m∠1 + m∠2 = 180° because of the definition of supplementary angles.

Since ∠3 and ∠4 are supplements, it means that;

m∠3 + m∠4 = 180° because of the definition of supplementary angles.

We are told that ∠1 ≅ ∠4

Thus;

m∠1 + m∠2 = m∠3 + m∠1 (Substitution property of equality)

Finally, we can reduce to get;

m∠2 = m∠3 (subtraction property of equality)

Read more about two column proof at; https://brainly.com/question/1788884