If ∠A and ∠B are supplementary and m∠A = 37°45', then m∠B = ______.
142°55', 52°15’. 52°55’, 142°15'

Solution:

Given, ∠A and ∠B are supplementary

Also, m∠A = 37°45'

We have to find the value of m∠B.

Two angles are said to be supplementary angles if they add up to 180 degrees.

So, ∠A + ∠B = 180°

37°45’ + ∠B = 180°

∠B = 180° - 37°45’

∠B = 142°55’

Therefore, the measure of ∠B is 142°55’

If ∠A and ∠B are supplementary and m∠A = 37°45', then m∠B = ______.

Summary:

If ∠A and ∠B are supplementary and m∠A = 37°45', then m∠B = 142°55’.