50 points! Look at the picture attached. I will mark brainliest! Random answers and links will be reported!

I believe the answer would be 8 for line WE

For line QW the answer is 45 using the same method as the last quesiton

Step-by-step explanation:

This is because you would write

7x-13=15x-37

this would equal

x=3

Plug in the x value in line DW and FW and both equals 8

so logiically.I believe that line WE would equal 8.      

Step-by-step explanation:

The incenter is the center of the largest circle that fits inside the triangle.

Property of the incenter- it is equidistant from the sides.

As per property of the incenter we have:

To find the measure of one side, first compare the equations and solve for x:

Find the measure of DW:

The measure of WE is same as DW:

Same as previous question, the incenter is equidistant from the sides:

Compare the equations and solve for x:

Find the measure of SW:

QW is same as SW:

step-by-step explanation:

∠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.