Question

Find the value of each variable, help pls??

Answer 1

x = 145

Explanation:

We are given a polygon that has 7 sides. We can use the formula
`S=(n-2) * 180` which allows us to write an algebraic expression to solve for x where n = number of sides.

`S=(7-2) * 180`

Evaluate

`S=5*180`

`S=900`

Now that we have our number, lets write an algebraic expression that will help us find the value of x.

`x+116+129+120+130+135+125=900`

Add like terms

`x+755=900`

Subtract 755 on both sides

`x=145`

We can check our work by adding all the angle measures together

`145+116+129+120+130+135+125=900`

Thus we know 145 is the correct answer.