Answer:
149 degrees
Step-by-step explanation:
Since m and n are parallel you need to remember the rules of transversals, this means that <1 and <2 are corresponding. Corresponding angles are always congruent, so we can solve for x by setting them equal to each other.
[tex]8x-1=7x+3[/tex]
First, move the variables to one side, I will move them both to the right, but remember you can do it on either side. To do this subtract 7x from both sides
[tex]8x-1-7x=7x+3-7x[/tex], then simplify
[tex]x-1=3[/tex]
Next, add 1 to both sides to isolate the variable
[tex]x-1+1=3+1[/tex], then simplify
[tex]x=4[/tex]
Now that you know what x equals solve for angle 1, to do this plug 4 in for x in the original equation
[tex]8(4)-1=31[/tex]
Finally, you can solve for <3 because <1 and <3 are supplementary. So to solve add both and set them equal to 180, in this equation let x stand for <3. [tex]180=31+x[/tex], then subtract 31 from both sides [tex]180-31=31+x-31[/tex] and simplify, [tex]149=x[/tex]. So angle 3 is equal to 149.
