The sum of the measures of the central angles of a circle is 360°. find the measures of each angle labeled x.

You would want to add all of the angles together to find the sum. Set this equal to 360.

2x-9 + 2x-9 + x + x + x = 360

Combine like terms,

7x-18 = 360

Add 18 to both sides,

7x = 378

Divvied both sides by 7,

x = 54

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints