Answer:
x = 15
Explanation:
The solution to any problem is found by making use of the relations you know between the parts of the problem. Here, values of x relate to the arc measures around a circle. The relation you know is the sum of the arcs around a circle is 360°. Using this relation, you can write the equation ...
7x° +4x° +6x° +7x° = 360°
The equation can be solved for x by making use of the rules of algebra.
24x = 360 . . . . . . . . . . . . . . divide by °, collect terms
x = 15 . . . . . . . . . . . . . . . . divide by 24