Answer:
y = 55
Explanation:
(4x - 12) and (2x + 8) are alternate angles and are congruent , so
4x - 12 = 2x + 8 ( subtract 2x from both sides )
2x - 12 = 8 ( add 12 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
then
4x - 12 = 4(10) - 12 = 40 - 12 = 28
(3y - 13) and (4x - 12) are same- side interior angles and sum to 180° , so
3y - 13 + 28 = 180
3y + 15 = 180 ( subtract 15 from both sides )
3y = 165 ( divide both sides by 3 )
y = 55