Answer:x=14
Explanation:
Let's first understand what we need to do. We need to solve for two variables, x and y. We do these by setting two systems of equations equal to each other. This is easily done for x, but for y the other equation is missing. Keep this in mind for later.
So, we will first start off by solving for x. We do this by using inverse operations.
5x+25=3x+53 We will subtract
5x=3x+28
2x=28 Divide
x=14
You can plug 14 into both the xs and they will be similar, and both will have the similar results once you solve for y and plug it into the equation along with x.
We know that the 5x+25 on the left is adjacent to 2y+35, and so is the second x. Adjacent angles add up to 180 total, and so to solve for y we need to plug 12 in the first x.
5(14)+25=95
180-95=85
85 is the value of 2y+35
We will solve for y just like any other alegrbaic problem
85=2y+35
50=2y
y=25
We know know that y is 25 and x is 14
Plug both values into 2 adjacent angles and they will add up to 180.