Question

Set up an equation to find the value of x. Explain your reasoning. Get the answer (value of x) to be 28. Using the Corresponding Angles Theorem.

Answer 1

The value of x is 28

Step-by-step explanation:

Note: Corresponding angles are equal.

Looking at the given diagram we see that, angle 70 degrees corresponds with the angle (3x - 14) degrees.

So, we have:

`3x-14=70`

Add 14 to both sides:

`\begin{gathered} 3x-14+14=70+14 \\ 3x=84 \end{gathered}`

Divide both sides by 3

`\begin{gathered} (3x)/(3)=(84)/(3) \\ \\ x=28 \end{gathered}`