The measure of angle FBE is 14x + 6
How to determine the measure of angle FBE?
The angles are given as:
Angle FBC = 10x-9
Angle CBE = 4x+15
The measure of angle FBE is calculated as:
Angle FBE = Angle FBC + Angle CBE
Substitute the known values in the above equation
Angle FBE = 10x - 9 + 4x + 15
Collect the like terms
Angle FBE = 10x + 4x - 9 + 15
Evaluate the sum and the difference
Angle FBE = 14x + 6
Hence, the measure of angle FBE is 14x + 6
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