Question

question 12 (multiple choice worth 4 points) (01.06r mc) solve for x. x = 5° x = 18° x = 30° x = 36°

Explanation:

Step1: Note angle - sum property

Since $\angle EAF$ and $\angle FAB$ form a straight - line, the sum of the angles $\angle EAF$ and $\angle FAB$ is $180^{\circ}$. So, $3x + 2x=180^{\circ}$.

Step2: Combine like - terms

Combining the left - hand side of the equation, we get $5x = 180^{\circ}$.

Step3: Solve for x

Divide both sides of the equation by 5: $x=\frac{180^{\circ}}{5}=36^{\circ}$.

Answer:

$x = 36^{\circ}$