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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.

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 class=

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Answer:

The value of x is 28

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:

[tex]3x-14=70[/tex]

Add 14 to both sides:

[tex]\begin{gathered} 3x-14+14=70+14 \\ 3x=84 \end{gathered}[/tex]

Divide both sides by 3

[tex]\begin{gathered} \frac{3x}{3}=\frac{84}{3} \\ \\ x=28 \end{gathered}[/tex]

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