Answer:
x = 18 and y = 11
Explanation:
The angles 6x - 16 and 92 are vertical angles and congruent, thus
6x - 16 = 92 ( add 16 to both sides )
6x = 108 ( divide both sides by 6 )
x = 18
Angles 8y and 92 form a straight angle and are supplementary, thus
8y + 92 = 180 ( subtract 92 from both sides )
8y = 88 ( divide both sides by 8 )
y = 11