The sun of three consecutive integers is 60 find the integers

let the three consecutive Integers be

x , x+1 , x+2

their sum is 60,

so,

x + x + 1 + x + 2 = 60

→ 3x + 3 = 60

→ 3x = 60 - 3 = 57

→ x = 57/3 = 19

therefore, 1st integer = 19

2nd integer = x + 1 = 19 + 1 = 20

3rd integer = x + 2 = 19 + 2 = 21

so,

the three consecutive Integers are 19 , 20 and 21.

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∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

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step-by-step explanation:

should you really be posting this isn't math boi.