first solve for y
116 = 5y-21
add 21 to both sides
137 = 5y
divide both sides by 5
27 2/5 = y
5(27.4)-21 = 116 degrees
then solve for x
116 + 6x +32 = 180
148 +6x = 180
subtract 148 from both sides
6x = 32
divide both sides by 6
x = 5 1/3
6(5 1/3)+32 = 64 degrees