Question

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

Answer 1

Answer:

The measure of angle ABE is 27°.

Explanation:

Consider the below figure attached with this question.

Given information: ∠ABE=2n+7 and ∠EBF=4n-13.

From the below figure it is clear that ∠ABE and ∠EBF are congruent.

$m\angle ABE=m\angle EBF$

$2n+7=4n-13$

Isolate variable terms on one side.

$7+13=4n-2n$

$20=2n$

Divide both sides by 2.

$10=n$

The value of n is 10.

We need to find the measure of ∠ABE.

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

Therefore, the measure of angle ABE is 27°.