To find the measure of angle B, we need to use the fact that the angles around a point add up to 360 degrees.
m/A + m/B + m/C + m/D = 360°
Substitute the given angle measures into the equation:
(16x)° + m/B + (8x + 20)° + 128° = 360°
Combine like terms:
24x + m/B + 148 = 360
Subtract 148 from both sides:
24x + m/B = 212
Now we know that the sum of the measures of angles around point B is 360°:
m/B = 360° - m/A - m/C - m/D
m/B = 360° - (16x)° - (8x + 20)° - 128°
m/B = 360° - 16x - 8x - 20 - 128
m/B = 360° - 24x - 148
m/B = 212 - 24x
Therefore, the measure of angle B is 212 - 24x degrees.
