Final answer:
The measure of Angle B is found to be 42.5 degrees using the relationships between supplements and complements and the given condition that the supplement of Angle B is 5 less than 3 times its complement.
Step-by-step explanation:
The question asks for the measure of Angle B, given that its supplement is 5 less than 3 times its complement. To find this, we use the relationships that the supplement of an angle is 180 degrees minus the angle, and the complement of an angle is 90 degrees minus the angle.
Let angle B = x degrees. Then, its supplement is 180 - x and its complement is 90 - x. According to the given information, 180 - x = 3(90 - x) - 5. Simplifying this equation: 180 - x = 270 - 3x - 5. Solving for x gives us 2x = 85. Therefore, x = 42.5 degrees.