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lisov135
1 month ago
13

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

Chemistry
1 answer:
VMariaS [2.9K]1 month 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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