Answer :
The route is 3→2→6→5→8→9→13→14→15→11, then and measures are 141, 39, 139, 98, 102, 50, 74, 83, 95, and 162 in degrees.
What are vertically opposite angles?
It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
From the start point 3:
The angle 141° formed and the opposite angle also has the same measure 141° according to the vertically opposite angles.
When the two parallel lines intersect by the line as shown in the figure of the start point the adjacent angles will have the same measure, so the value of x in the 3rd box is 141°
Similarly, for the other boxes, we can find the angles.
Box number's Angles
3 141 degrees
2 39 degrees
6 139 degrees
5 98 degrees
8 102 degrees
9 50 degrees
13 74 degrees
14 83 degrees
15 95 degrees
11 162 degrees
End
Thus, the route is 3→2→6→5→8→9→13→14→15→11, then and measures are 141, 39, 139, 98, 102, 50, 74, 83, 95, and 162 in degrees.
Learn more about the vertically opposite angles here:
brainly.com/question/24287162
#SPJ2