Question

the measure of one angle is 38° less than the measure of its supplement. find the measure of each angle

Answer 1

supplementary angles add up to 180° , so
let the one angle be x, then the other is x - 38

x + x-38 = 180
2x = 218
x = 109 , then the other angle must be 180-109 = 71

one is 71°, the other is 109°

check: is 71+109 = 180? , YES
is 109-71 = 38 ? YES
my answer is correct