Was just working on my math skills but don't know how to to this problem

Question

asked Jan 21, 2023 47.6k views

1 Answer

Krasnyk · Answer 1 · 2023-01-24T22:32:53+0000

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,

solve the equation to find x , combine the like terms

$\begin{gathered} 5x-74=x+14 \\ \\ 5x-x=14+74 \\ \\ 4x=88 \\ \\ x=(88)/(4)=22 \end{gathered}$

so, the answer is x = 22