Given,
The line f and g are parallel lines.
a)The measure of angle 2 is 117 degree.
By exterior atlernate angle property,
[tex]\begin{gathered} \angle2=\angle7 \\ \angle7=117^{\circ} \end{gathered}[/tex]
The measure of angle 7 is 117 degree.
b)The measure of angle 4 is 68 degree.
By sum of adjacent angle between two parallel lines property,
[tex]\begin{gathered} \angle4+\angle6=180^{\circ} \\ \angle6=180^{\circ}-68^{\circ} \\ \angle6=112^{\circ} \end{gathered}[/tex]
The measure of angle 6 is 112 degree.
c)The measure of angle 5 is 32 degree.
By alternate interior angle property,
[tex]\begin{gathered} \angle4=\angle5^{} \\ \angle4=32^{\circ} \end{gathered}[/tex]
The measure of angle 4 is 32 degree.
d)The measure of angle 7 is 121 degree.
By corresponding angle property,
[tex]\begin{gathered} \angle7=\angle3^{} \\ \angle3=121^{\circ} \end{gathered}[/tex]
The measure of angle 3 is 121 degree.
