Question

Help need answers!!! 100 POINTS!!! what does x equal, and what does angle m

Answer 1

x = 10.1, AXY = 71.7 degrees

Explanation:

There are two ways to solve this problem. You could either do 7x+1+108.3=180 or 180-108.3, then take that number and set it equal to 7x+1.

I will be using the latter. (You can do this because angle YXB is a linear pair with angle AXY. This means they add up to 180. So to find angle AXY, you subtract 180 from 108.3)

`180-108.3=71.7\\\\7x+1=71.7\\\\`

Subtract one from each side to move variables to the left and constants to the right.

`7x+1-1=71.7-1\\\\7x=70.7`

Divide seven by both sides to isolate the variable.

`(7x)/(7)=(70.7)/(7) \\\\x=10.1`

So now we know what x is. So to find AXY, you substitute it back into the equation.

`7(10.1)+1=71.7\\\\70.1+1=71.7?\\\\71.1=71.7?`