Answer :
Answer:
x = 21 and y = 10
Step-by-step explanation:
Given 2 parallel lines, then
4x + 24 = 108 ( alternate exterior angles are congruent )
Subtract 24 from both sides
4x = 84 ( divide both sides by 4 )
x = 21
6y + 12 and 4x + 24 are supplementary ( straight angle ), thus
6y + 12 + 108 =180, that is
6y + 120 = 180 ( subtract 120 from both sides )
6y = 60 ( divide both sides by 6 )
y = 10