Answer:
Step-by-step explanation:
Assumptions
You have to make some assumptions here without a diagram, and those assumptions can be wrong.
- The endpoints of <C at the same endpoints as the arc.
- The central angle is also 4x
- The measure of C is 1/2 the measure of the central angle.
With these in mind we can go on
Equation
- 2*<C = the measurement of the arc.
- 2*(x + 5) = 4x Properties of Arcs central angles and interior angles with the vertex and two other points on the legs of angle hitting the circumference.
Solution
Remove the brackets
- 2x + 10 = 4x Subtract 2x from both sides
- 2x - 2x + 10 = 4x - 2x
- 10 = 2x Divide both sides by 2
- 10/2 = 2x/2
- 5 = x Answer
