Answer:
x = 21, y = 15
Step-by-step explanation:
[tex](6x + 7) \degree + (3x - 16) \degree = 180 \degree \\ (exterior \: \angle s \: ) \\ \\ (9x - 9) \degree = 180 \degree \\ \\ 9x - 9 = 180 \\ \\ 9x = 180 + 9 \\ \\ 9x = 189 \\ \\ x = \frac{189}{9} \\ \\ x = 21 \\ \\ (11y - 32) \degree = (6x + 7) \degree \\ (vertical \: \angle s) \\ \\ (11y - 32) \degree = (6\times 21- 16) \degree \\ \\ (11y - 32) \degree = (126 + 7) \degree \\\\ (11y - 32) \degree = 133 \degree \\ \\ 11y - 32 = 133 \\ \\ 11y = 133 + 32 \\ \\ 11y = 165 \\ \\ y = \frac{165}{11} \\ \\ y = 15[/tex]
