Find the measure of angle cba.

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°

lo ; )