8)
<1 = 90
answer is a. 90
9)
k = 180 - 23 - 77
k = 80
answer is c.80
10)
x = 180 - 60 - 42
x = 78
z = 180 - 78
z = 102
y = 180 - 11 - 102
y = 67
answer is c x = 78 y = 67 z = 102
It says that the triangles are congruent (same size). Also, a triangle's angles add up to 180 degrees. In both of these triangles, one angle is 90° and another angle is 52°. The other angle is 180°-90°-52°=38°.
Solve these equations to find x and y: 2x+18=38, 3y+11=38


Her next step is to repeat the last process of drawing those two arcs. However, they will be mirrored since she swapped endpoints.
Check out the diagram below. Figure 1 is what she already has. Figure 2 is what happens after completing the next step. The red and blue arcs intersect to help form the endpoints of the perpendicular bisector. I used GeoGebra to make the diagrams.
37.1
Hope this helps a lot!!