Question

You are given that Z1 and 23 are vertical angles with mZ1 = (4x - 14) and m3 = 58° What is the value of ? Show your work. B T U

Answer 1

the vertical triangles are equal measured, therefore

$\begin{gathered} \angle1=\angle3 \\ 4x-14=58 \\ 4x-14+14=58+14 \\ 4x=72 \\ \frac{4x}{4}=\frac{72}{4} \\ x=18 \end{gathered}$

answer: x = 18