Answer:
x = 22 , y = 113
Step-by-step explanation:
(3x - 15) and (2x + 7) are vertically opposite angles and are congruent, so
3x - 15 = 2x + 7 ( subtract 2x from both sides )
x - 15 = 7 ( add 15 to both sides )
x = 22
then
2x + 7 = 2(22) + 7 = 44 + 7 = 51
(y + 16) and (2x + 7) area linear pair and sum to 180° , that is
y + 16 + 51 = 180
y + 67 = 180 ( subtract 67 from both sides )
y = 113
