Mr. Stark has 35 different fancy suits and 120 ties to choose from. His favorite is a gray suit with black stripes and a red tie with tiny airplanes on it. Jarvis randomly selects a suit and tie for him. Select all of the statements below that are true. A.
He has a 1/155 chance of Jarvis selecting his favorite suit/tie combo.

B.
He has a 0.00024 probability of Jarvis selecting his favorite suit/tie combo.

C.
If Mr. Stark also has 110 different shirts, there would be 462,000 possible outfits.

D.
There are 4200 possible suit/tie matches that can be made if every suit and every tie can go together.

∠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.