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I need help I don't understand this question-example-1

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Answer:

Statements

∠1 and ∠2 are supp. ⇒ Given

∠3 and ∠4 are supp. ⇒ Given

∠1 ≅ ∠4 ⇒ Given

m∠1 + m∠2 = 180 ⇒ Defintion of supp. angles

m∠3 + m∠4 = 180 ⇒ Defintion of supp. angles

m∠1 + m∠2 = m∠3 + m∠4 ⇒ Substitution property

∠2 ≅ ∠3 ⇒ Subtraction property of equality

Explanation:

First 3 statements are given to you by the problem.

Definition of supplementary angle are angles whose measures add up 180.

In the 6th step we substitute m∠3 + m∠4 in for 180 sense it is equal to 180

Finally we subtract m∠1 and m∠4 from each side sense they are equal.

Your proofs may not be worded the exact same way I worded mine and might have less or more steps, but this should give you the idea of how to solve it.

User Yoav Aharoni
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