The value of x in the angle is 15
How to determine the value of x?
The given parameters are
m < CDF = (3x + 14), m < FDE = (5x -2), and m < CDE = (10x - 18)
The above means that
Line FD divides angle CDE
So, we have
CDE = CDF + FDE
This gives
10x - 18 = 3x + 14 + 5x - 2
Evaluate the like terms
2x = 30
Divide both sides by 2
x = 15
Hence, the value of x in the angle is 15
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