Answer:
Below
Explanation:
Ok, there is a few ways to slove this problem. You could just try to plug in both xs and see which is true, or you could actually do the math. I will do the math.
Alright, the first question is a corrseponding angle, so they are equal to each other. Set it up like this:
3x-1=x+5
Now, you need to get the variable by itself, so do that.
3x-1=x+5
+1 +1
3x=x+6
-x -x
2x=6
/2 /2
x=3
The arrow will go to the right.
Now, you have a same side exterior angle. When you add these together, they will equal 180 degrees, so set up the equation like this.
8x+10+6x+2=180
Now, solve
8x+10+6x+2=180
Combine like terms (8x+6x)+(10+2)
14x+12=180
-12 -12
14x=168
/14 /14
x=12
Your arrow will go down.
Same side interior angles is your next problem, and it is like same side exterior angles as it equal 180. Set up your equation accordingly
10x-8+5x+8=180
Combine like terms (10x+5x)+(8-8)
15x=180
/15 /15
x=12
Your arrow will go down.
These are opposite side exterior angles, so they will equal each other. Set up the equation accordingly.
9x+18=10x-8
Get the variable on one side and by themselves
9x+18=10x-8
+8 +8
9x+26=10x
-9x -9x
26=x
Your arrow will go upper corner right
This problem is opposite side exterior angles, so they will equal each other. Set up the equation accordingly.
2x+5=3x-7
+7 +7
2x+12=3x
-2x -2x
12=x
Your arrow will go up
Now, you have a same side exterior angle. When you add these together, they will equal 180 degrees, so set up the equation like this.
8x+5+2x-15=180
Combine like terms (8x+2x)+(5-15)
10x-10=180
+10 +10
10x=190
/10 /10
x=19
Arrow goes diagonal right down
The angles are opposite side interior angles, so they are equal to each other. Set up your equation like this:
4x-4=-3x+52
+4 +4
4x=-3x+56
+3x +3x
7x=56
/7 /7
x=8
That is your finish!