A central angle of a circle is an angle with the vertex in the center of the circle. The sum of the measures of the central angles of a circle with no interior points in common is 360^(∘).
107
Practice makes perfect
A central angle of a circle is an angle with the vertex in the center of the circle. Note that the three given angles in the diagram are all central angles.
The sum of the measures of the central angles of a circle with no interior points in common is 360^(∘). With this information, we can write an equation in terms of x.
135^(∘)+118^(∘)+x=360^(∘)
Finally, we can solve our equation for x.
