Answer:
x = 15, y = 50
Step-by-step explanation:
8x + 12 and 2x + 18 are same- side interior angles and sum to 180° , then
2x + 18 + 8x + 12 = 180
10x + 30 = 180 ( subtract 30 from both sides )
10x = 150 ( divide both sides by 10 )
x = 15
Then
8x + 12 = 8(15) + 12 = 120 + 12 = 132
3y - 18 and 8x + 12 are vertical angles and are congruent, so
3y - 18 = 132 ( add 18 to both sides )
3y = 150 ( divide both sides by 3 )
y = 50
