Question

find the value of x. then find the measure of each labeled angle. points: 0 of 1 part 2 of 3 simplify your answer. x = 15 simplify your answer. 8x° =

Explanation:

Step1: Identify angle - relationship

The two angles are alternate - interior angles of parallel lines. Alternate - interior angles are equal. So, we set up the equation $8x=47$.

Step2: Solve for x

Divide both sides of the equation $8x = 47$ by 8. We get $x=\frac{47}{8}=5.875$.

Step3: Find the measure of the angle labeled 8x

Substitute $x = 5.875$ into $8x$. So, $8x=8\times5.875 = 47$.

Answer:

$x = 5.875$, $8x=47$