If angle ABE = 2n + 7 and angle EBF=4n-13,find angle ABE.

Chemistry

1 answer:

VMariaS [2.9K]3 months ago

4 0

Answer:

Angle ABE measures 27°.

Explanation:

Refer to the attached diagram related to this question.

The given values are ∠ABE=2n+7 and ∠EBF=4n-13.

Clearly seen in the diagram, ∠ABE and ∠EBF are equal in measure.

$m\angle ABE=m\angle EBF$

$2n+7=4n-13$

Move variable components to one side of the equation.

$7+13=4n-2n$

$20=2n$

Split both sides by 2.

$10=n$

The solution for n arrives at 10.

The next step is to calculate ∠ABE.

$\angle ABE=2(10)+7=20+7=27$

Consequently, the measurement of angle ABE is 27°.

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