Christopher is 20 years younger than Ishaan. Ishaan and Christopher first met two years ago. Fourteen years ago, Ishaan as old as Christopher. How old is Christopher?

24 years

Step-by-step explanation:

Let Christopher's age=c

Since Christopher is 20 years younger than Ishaan.

Ishaan's age=c+20

Fourteen years ago, Ishaan was three times as old as Christopher.

Their ages 14 years ago are:

For Christopher: c-14

For Ishaan: (c+20)-14

Therefore:

3(c-14)=c+6

3c-42=c+6

3c-c=6+42

2c=48

Divide both sides by 2

c=24

Christopher is 24 years old.

∠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.