As shown the figure : there are two parallel lines and a transversal
Given the angles : ( x + 14 ) and (5x - 74)
The angles are congruent because they are a corresponding angles
So,
[tex]5x-74=x+14[/tex]
solve the equation to find x , combine the like terms
[tex]\begin{gathered} 5x-74=x+14 \\ \\ 5x-x=14+74 \\ \\ 4x=88 \\ \\ x=\frac{88}{4}=22 \end{gathered}[/tex]
so, the answer is x = 22
