Finding the Measure of Angle B in Triangle ABC

In triangle ABC, the measures of the angles are as follows: Angle A is three times the measure of Angle B, and Angle C is 20 degrees less than twice the measure of Angle B. If the sum of the angles in a triangle is always 180 degrees, what is the measure of Angle B?

Let the measure of Angle B be represented as $x$ degrees. Therefore, we can express Angle A as $3x$ degrees and Angle C as $(2x - 20)$ degrees. Set up the equation based on the triangle angle sum property:

$x + 3x + (2x - 20) = 180$