To find the measure of angle B, we start by remembering the definition of complementary angles. Two angles are considered complementary when the sum of their measurements equals 90 degrees.
Given that angle A measures 42 degrees, we can set up the equation:
Angle A + Angle B = 90 degrees
Substituting the measurement of angle A into the equation:
42 degrees + Angle B = 90 degrees
To find angle B, we can rearrange the equation by subtracting 42 degrees from both sides:
Angle B = 90 degrees – 42 degrees
Now, performing the calculation:
Angle B = 48 degrees
So, the measure of angle B is 48 degrees.