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solve for the value of e. (6e + 2)° 82° answer attempt 2 out of 2 e =

Question

solve for the value of e. (6e + 2)° 82° answer attempt 2 out of 2 e =

Explanation:

Step1: Identify angle - relationship

The two angles $(6e + 2)^{\circ}$ and $82^{\circ}$ are vertical angles. Vertical angles are equal. So we set up the equation $6e+2 = 82$.

Step2: Solve the equation for $e$

Subtract 2 from both sides: $6e=82 - 2$, so $6e = 80$. Then divide both sides by 6: $e=\frac{80}{6}=\frac{40}{3}$.

Answer:

$e=\frac{40}{3}$