Can anyone help me solve some of these

The answer to the sunset question is 16 F.

Work Example:

With the number -2, you can order the work simple like these examples over here.

18 + (-2) = 16.

The problem is usually written like this, and here is a little trick. When a positive number is added to a negative number, instead of adding itself, it subtracts the positive form of the negative number with 18, which is our positive number.

18 - 2 = 16.

If you place the -2 as the second number in the equation, the negative works nicely and looks like a minus sign. Or, you can do it in a different way.

∠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.