The angle measurements in the diagram are represented by the following expressions.
ZA= 63 - 189
ZB = 142 + 38°
Solve for x and then find the measure of ZA:

Step-by-step explanation:

∠A + ∠B = 180

where ∠A = 6x - 18

           ∠B = 14x + 38

first step is to solve for x:

6x - 18 + 14x + 38 = 180

6x + 14x = 180 + 18 - 38

20x = 160

x = 160 / 20

x = 8

now substitute x=8 into angle A

∠A = 6x - 18

∠A = 6(8) - 18

∠A = 30°

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x