If m ∠ A B F = ( 7 b − 24 ) ° and m ∠ A B E = 2 b ° , find m ∠ E B F .
1 answer:
Based on the given parameters, the measure of m∠EBF is 5b − 24
<h3>How to determine the measure of EBF?</h3>The given parameters are:
m∠ABF = (7b − 24)°
m∠ABE = 2b°
See attachment for the illustrating diagram
From the diagram, we have the following equation
m∠EBF = m∠ABF - m∠ABE
Substitute the known values in the above equation
m∠EBF = (7b − 24)° - 2b°
Remove the bracket in the above equation
m∠EBF = 7b − 24 - 2b
Collect the like terms in the above equation
m∠EBF = 7b - 2b − 24
Evaluate the like terms in the above equation
m∠EBF = 5b − 24
Based on the given parameters, the measure of m∠EBF is 5b − 24
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