Question

BIG IDEAS MATHFind the value of x that makes m|n.143°(5x +13)°AEnLines m and n are parallel when x =

Answer 1

Given that

There are two lines m and n and these are intersected by the transversal. And we have to find the value of x.

Explanation -

We have to find the value of x such that the lines m and n are parallel.

If two parallel lines are intersected by the transversal then the pair of corresponding angles are equal.

Corresponding angles are the angles that are on the same side and at the same place on the parallel lines intersected by the transversal.

`\begin{gathered} 5x+13=143 \\ 5x=143-13 \\ 5x=130 \\ x=(130)/(5) \\ x=26 \end{gathered}`

So the value of x is 26.

Final answer -

Therefore the final answer is 26.