Question

3 multiple choice 6 points
two parallel lines are crossed by a transversal.
what is the value of g?
$g=75$
$g=80$
$g=100$
$g=105$
4 multiple choice 5 points
rhombus lmno is shown with its diagonals.

Explanation:

Step1: Identify supplementary angle

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

Step2: Use parallel line angle property

The 75° angle is corresponding to \(g^\circ\), so they are equal.
\(g = 75\)

Answer:

g = 75
Only question 3 is fully provided; question 4 is incomplete and cannot be solved with the given information.