Question

solve for the value of e.

Explanation:

Step1: Identify supplementary angles

The angles \( (6e + 2)^\circ \) and \( 82^\circ \) are supplementary (they form a linear pair), so their sum is \( 180^\circ \).
\[
(6e + 2) + 82 = 180
\]

Step2: Simplify the equation

Combine like terms:
\[
6e + 84 = 180
\]

Step3: Solve for \( e \)

Subtract 84 from both sides:
\[
6e = 180 - 84
\]
\[
6e = 96
\]
Divide both sides by 6:
\[
e = \frac{96}{6}
\]
\[
e = 16
\]

Answer:

\( e = 16 \)