Question

Geometry Help

Answer 1

what's the proof?

Answer 2

I'll give it a try

Answer 3

I'm guessing it's 2, 1, 3

Answer 4

I take that guess back, I have no idea what I'm doing

Answer 5

Look at line 5 (the line just above I)

Answer 6

Now look at line I
Line I uses m<VQT + m<ZRS on the right side of the equal sign, right?

Answer 7

There is nothing above line I stating anything about m<VQT + m<ZRS, so line I is definitely out of place.

Answer 8

Now look at line III.
There you have a statement about m<VQT + m<ZRS.
The reason is a theorem, so there is no need for substitution based on previous statements.
That means of lines I, II, and III, the first line must be line III.

Answer 9

Once you write line III, you have
m<VQT + m<ZRS = 180

Answer 10

Now looking again at line 5, you also have two angles whose measures add to 180.
Using lines 5 and III, and using substitution, you get line II. This means line II is the second of the three lines you need to place.

Answer 11

Finally, using the subtraction property of equality on line II, you can write line I.
The order is III, II, I.

Answer 12

You're welcome.