Answer:
x = 14, y = 37
Step-by-step explanation:
The angle vertical to (9x + 12 )° and 3x are same- side interior angles and are supplementary, sum to 180°, then
9x + 12 + 3x = 180
12x + 12 = 180 ( subtract 12 from both sides )
12x = 168 ( divide both sides by 12 )
x = 14, so
3x = 3 × 14 = 42
3x and 4y - 10 are adjacent angles and supplementary, then
3x + 4y - 10 = 180
42 + 4y - 10 = 180
4y + 32 = 180 ( subtract 32 from both sides )
4y = 148 ( divide both sides by 4 )
y = 37
