Alice baked a certain number of pies. she gave 81 of the pies to her friends and 41 of the remainder to her neighbor. she was left with 63 pies. how many pies did alice bake at rst?

Please mark my answer as Brainiest, I am trying to get to virtuoso and only need 3 more.

Alice baked 185 pies in total. I got this answer by adding 81,1, and 63 together. Then to check the answer I subtracted 81 and 41 from 185 and it gave me 63. so therefore the answer is 185.

∠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.