As per the figure,
∠ A = 32°
∠ B = (11x-9)°
∠ C = (4x+7)°
Now, we know that the sum of all the angles of a triangle is 180°
Therefore,
∠ A + ∠ B + ∠ C = 180°
Substitute the values of the angles in this equation now.
32 + (11x-9) + (4x+7) = 180
32 + 11x - 9 + 4x + 7 = 180
30 + 15x = 180
15(2 + x) = 180
x + 2 = 180/15
x + 2 = 12
x = 12-2
x = 10
Now substitute the value of x in the angles to find out there actual measures.
∠ C = (4x+7)° = ((4*10) + 7)° = 40 + 7 = 47°
∠ B = (11x-9)° = ((11*10) - 9)° = 110 - 9 = 101°
Therefore, ∠ CBA = 101°