If m<6 = 7x -36 and m<9 = 5x + 12, what is the value of angle 11 ?

Answer:
Step-by-step explanation:
∠8 = ∠6
∠8 = 7x - 36
∠8 +∠9 = 180 {Linear pair}
7x - 36 + 5x + 12 = 180
7x + 5x - 36 + 12 = 180
12x - 24 = 180
12x = 180 + 24
12x = 204
x = 204/12
x = 17
∠6 = 7x - 36 = 7*17 - 36 = 119 - 36 = 83
∠11 = ∠6 {Vertically opposite angles}
∠11 = 83