What is the area and perimeter of the triangle?

perimeter= 17/3

area= 12

Step-by-step explanation:

for perimeter:

basically you need to add all sides

so to make it easier yo can put the equation in this way

4/3 + 5/3 + 8/3 = (and that gives you) 17/3

given they have common denominator you just add the numbers

for area:

the equation of the area of a triangle is:

1/2 x base x height

you just need to replace to end up with

1/2 x 8/3 x 6 = 12

∠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.