Final answer:
To find the value of x, equate CD and DE, simplify the equation, and solve for x. Substituting the value of x back into the given expressions for CD, DE, and CE, we find the measure of each side in Triangle CDE.
Step-by-step explanation:
To find the value of x, we can equate CD and DE since it is an isosceles triangle. So, we have the equation:
9x - 25 = 6x + 8
Simplifying the equation, we get:
3x = 33
Dividing both sides by 3, we find that x = 11.
To find the measure of each side, we substitute the value of x back into the given expressions for CD, DE, and CE:
CD = 9(11) - 25 = 94
DE = 6(11) + 8 = 74
CE = 10(11) - 73 = 37
Therefore, the measure of each side in Triangle CDE is CD = 94, DE = 74, and CE = 37.