The sum of all interior angles in a polygon is
180(n - 2), where n = "number of sides in the polygon"
now, this polygon has 5 sides, so is a PENTAgon, so the sum of all its interior angles is 180( 5 - 2), or 540.
we know 4 of them, so the last one, the one next to A, has to be 540 - 104 - 118 - 96 - 115, namely is 107.
now, notice, that angle is next to A, is really sitting on the same exact line angle A is sitting on, so that angle is a linear angle with A.
what the dickens does that mean? well, linear angles make up 180°, therefore,
107 + A = 180
A = 180 - 107
we know that
<u>Unit Rate</u> is the ratio of two measurements in which the second term is ![1](https://tex.z-dn.net/?f=1)
we have
![2\frac{1}{2}\ liters=\frac{2*2+1}{2}=\frac{5}{2}\ liters](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B2%7D%5C%20liters%3D%5Cfrac%7B2%2A2%2B1%7D%7B2%7D%3D%5Cfrac%7B5%7D%7B2%7D%5C%20liters)
so
Corey bought
of paint for ![\$60](https://tex.z-dn.net/?f=%5C%2460)
by proportion
<u>Find the cost of one liter of paint</u>
![\frac{60}{(5/2)}\frac{\$}{liters}=\frac{x}{1}\frac{\$}{liters} \\ \\x*\frac{5}{2}=60\\ \\ x=2*60/5\\ \\x=\$24](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B%285%2F2%29%7D%5Cfrac%7B%5C%24%7D%7Bliters%7D%3D%5Cfrac%7Bx%7D%7B1%7D%5Cfrac%7B%5C%24%7D%7Bliters%7D%20%5C%5C%20%5C%5Cx%2A%5Cfrac%7B5%7D%7B2%7D%3D60%5C%5C%20%5C%5C%20x%3D2%2A60%2F5%5C%5C%20%5C%5Cx%3D%5C%2424)
therefore
<u>the answer is</u>
the cost per liter of the paint is equal to ![24\frac{\$}{liter}](https://tex.z-dn.net/?f=24%5Cfrac%7B%5C%24%7D%7Bliter%7D)