Question

For the diagram below, if < 4 = 4x - 2, and < 6 = 2x + 14, what is the value of x?Select one:a.8b.16c.4d.5

Answer 1

x = 8

Explanations

From the line geometry shown, the line a and b are parallel lines while line "t" is the transversal.

Since the horizontal lines are parallel, hence;

`\angle4=\angle6(alternate\text{ exterior angle})`

Given the following parameters

`\begin{gathered} \angle4=4x-2 \\ \angle6=2x+14 \end{gathered}`

Equate both expressions to have:

`\begin{gathered} 4x-2=2x+14 \\ 4x-2x=14+2 \\ 2x=16 \\ x=(16)/(2) \\ x=8 \end{gathered}`

Hence the value of x is 8