Question

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

Answer 1

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