The measure of ∠CBA = 101°.
The sum of the angles is 180°, so to solve, add all of the expressions and equal it to 180°. Then, solve for X by combining like terms, subtractracting 30 from both sides and dividing both sides by 15.
(4x+7) + (11x-9) + 32 = 180
15x + 30 = 180
15x = 150
x = 150/15
x = 10
Then, plug x = 10 into the expression representing anlge CBA.
∠CBA = 11x - 9 = 11(10) - 9 = 101.
