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Step-by-step explanation:

Let angle ABZ be angle 1 and angle ZBC be angle 2.

Angle 1 = 85 degree

Angle 2 = 6x + 9

measure of angle ABC = 24x+4

Angle 2 = ABC - 85

6x + 9 = 24x + 4 - 85

6x - 24x = 4 - 85 - 9

-18x = -90

x = -90/-18 = 90/18 =

x = 5

Therefore the measure of angle 2 = 6*5 + 9 = 30+9 = 39 degree

Therefore the measure of angle ZBC = 39 degree

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