5. Find the value of x and y

Answer:
(2x +12) + (3x +23) = 180
5x + 35 = 180
5x = 145
x = 29
2(29) + 12
58 + 12
70
180 - 70 = 110
y = 110
or
3(29) + 23
87 + 23
110
corresponding angles are equal
y = 110