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 supplementary angle

The 105° angle and its adjacent angle on line \(t\) are supplementary.
\(180^\circ - 105^\circ = 75^\circ\)

Step2: Apply corresponding angles rule

The 75° angle and \(g^\circ\) are corresponding angles (parallel lines cut by transversal), so they are equal.
\(g = 75\)

Answer:

A. \(g = 75\)