Answer:
∠ 1 = 41°
Step-by-step explanation:
Vertical angles are congruent, thus
10x - 9 = 6x + 11 ( subtract 6x from both sides )
4x - 9 = 11 ( add 9 to both sides )
4x = 20 ( divide both sides by 4 )
x = 5
Thus
∠ 1 = 6x + 11 = 6(5) + 11 = 30 + 11 = 41°