Final answer:
The measure of CE is 9 units.
Step-by-step explanation:
To find the measure of CE, we need to use the fact that AB is a diameter. Since AB is a diameter, it divides the circle into two equal halves. Therefore, CE is equal to half the length of ED.
To find CE, we can set up an equation: CE = (ED)/2. Substituting the given values, we get (5x + 4) = (2x + 16)/2.
Simplifying the equation, we have 5x + 4 = x + 8. Solving for x, we get x = 1.
Substituting the value of x back into the equation, we find CE = 5(1) + 4 = 9. So, the measure of CE is 9 units.