Question

What is r?
150°
115⁰
130⁰
O
110°
105°
r

Answer 1

r = 110

Explanation:

We can see that we have a polygon that has 6 sides. So we can use the formula
`S = (n-2) * 180` to get the answer to create our algebraic equation, n being the number of sides of the polygon.

`S=(6-2) * 180`

Solve

`4*180`

`s=720`

Now that we have our number, we just have to create an algebraic equation to solve for r

`r+110+150+115+130+105=720`

Add like terms

`r+610=720`

Subtract 610 on both sides

`r=110`

To check our work, we can add all of our angle measurements together.

`110+110+150+115+130+105=720`

Because this equals 720, we know for sure r = 110.