Question

problem 15: given $overline{ab}paralleloverline{jk}$, find $x$. (first taught in lesson 24) after you enter your answer press go. $x =$

Explanation:

Step1: Identify equal - angle relationship

Since $\overline{AB}\parallel\overline{JK}$, the corresponding angles are equal. So, $2x - 9=5x - 21$.

Step2: Rearrange the equation

Subtract $2x$ from both sides: $-9 = 5x-2x - 21$.

Step3: Simplify the right - hand side

$-9=3x - 21$.

Step4: Add 21 to both sides

$-9 + 21=3x$, which gives $12 = 3x$.

Step5: Solve for x

Divide both sides by 3: $x=\frac{12}{3}=4$.

Answer:

$x = 4$