What is the complement of randomly drawing a tile with a vowel on it from the set of 13 scrabble tiles shown?

drawing a, e, or o

drawing b, c, l, m, n, r, t, or z

drawing a blank tile

drawing a d, f, g, h, i, j, k, p, or q

To my understanding, a complement is the opposite of what you're looking for. In this instance, you are searching for Vowels (A E I O U). In this instance, (A E E E O) are what you're looking for, so the complements would be

B, C, L, M, N, R, T, or Z.

∠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.