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Please help me I don’t understand this and I’m desperate.It ask to solve the equation and what angle it is.

Please help me I don’t understand this and I’m desperate.It ask to solve the equation-example-1
User Andrew Wei
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1 Answer

18 votes
18 votes

Given two parallel lines intersected by a transversal, you can identify the following pair of angles:


\begin{gathered} \mleft(6x-100\mright)\degree \\ (2x+4)\degree \end{gathered}

Notice that those angles are located on the same side of the transversal. One of them is exterior and the other angle is exterior. Therefore, they are a special pair of angles called "Corresponding Angles".

By definition, Corresponding Angles are congruent, which means that they have equal measure.

Knowing that you can set up the following equation:


6x-100=2x+4

Now you can solve for "x" in order to find its value:


\begin{gathered} 6x-2x=4+100 \\ 4x=104 \\ \\ x=(104)/(4) \\ \\ x=26 \end{gathered}

Now you can substitute the value of "x" into one of the expressio

User Jerome WAGNER
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