Question

two parallel lines are crossed by a transversal.
what is the value of g?
$g = 75$
$g = 80$
$g = 100$
$g = 105$

Explanation:

Step1: Identify vertical angle

The \(105^\circ\) angle and its vertical angle are equal, so the vertical angle is also \(105^\circ\).

Step2: Use corresponding angles property

Since lines \(u\) and \(w\) are parallel, the vertical angle of \(105^\circ\) and \(g^\circ\) are corresponding angles, so they are equal.
\(g = 105\)

Answer:

g = 105