100 POINTSYou have been invited to the emperor’s banquet. The emperor is a rather strange host. Instead of sitting with his guests at his large dining table, he walks around the table pouring oats on the head of every other person. He continues this process, pouring oats on the head of everyone who has not had oats until there is only one person left. Where should you sit if you do not want oats poured on your head? MAKE AN EQUATION

I'm glad you asked!

Step-by-step explanation:

Right after the emperor pours outs on someone's head,then rush and sit next to that person.He pours outs on someone's head then skips the next person.If you do this,you will not get oat-shed.

∠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.