Question

Please help I don't want just the answer I want to know how to solve it.

Answer 1

149 degrees

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.

`8x-1=7x+3`

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

`8x-1-7x=7x+3-7x`, then simplify

`x-1=3`

Next, add 1 to both sides to isolate the variable

`x-1+1=3+1`, then simplify

`x=4`

Now that you know what x equals solve for angle 1, to do this plug 4 in for x in the original equation

`8(4)-1=31`

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.
`180=31+x`, then subtract 31 from both sides
`180-31=31+x-31` and simplify,
`149=x`. So angle 3 is equal to 149.