do 92=6x-16 because they are vertical angles, and vertical angles are congruent.
you add 16 to 92 and get 6x=108
divide both sides by 6 to get
x=18
to find y, add 92+8y=180 because they are supplementary. subtract 92 from both sides and get 8y=88
divide both sides by 8 and you'll have
y=11