To find the measure of each angle, you add up all the angles in a triangle, which equals 180 degrees. So, you have:
mZA + m
Substitute the given values:
x + 2x + (6x + 18) = 180
Combine like terms:
9x + 18 = 180
Subtract 18 from both sides:
9x = 162
Divide both sides by 9:
x = 18
Now, plug in the value of x to find the measure of each angle:
mZA = x = 18°
mm
So, the measure of angle ZA is 18°, angle B is 36°, and angle C is 126°. Adding them together gives a total of 180°.