Find the values of x and y. State which theorems you used

Answer:
Step-by-step explanation:
5/6.
use that alternate exterior angles are congruent
3x= 5x -64; 64 = 5x-3x; 64= 2x ; 32 =x
use that lines form 180°
y+ 5x-64= 180
y= 180 +64 -5*32; y= 84
7/8.
use that alternating exterior angles are congruent
x=86
use that same side exterior angles are supplementary
x+y = 180; y= 180 -86; y= 94
9/10.
use that vertical angles are congruent
2y=59; y= 59/2; y= 29.5
use that alternate exterior angles are congruent
3x-4= 2y; 3x = 2y+4; x= (59+4)/3; x=21