SOLUTION: An angle measures 44° less than the measure of a complementary angle. What is the measure of each angle?

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Question 944932: An angle measures 44° less than the measure of a complementary angle. What is the measure of each angle?


Found 2 solutions by rfer, macston:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
X+X-44=90
2X=90+44
X=134/2
X=67
X-44=23

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of complementary angles is 90 degrees. Let one angle be A and its complement is A-44 degrees.
90 degrees=(A)+(A-44) add 44 degrees to each side
134 degrees=2A Divide each side by 2
67 degrees=A ANSWER 1: The larger angle is 67 degrees
Complement= A-44=67-44=23 degrees ANSWER 2: The smaller angle is 23 degrees
The two complementary angles with a difference of 44 degrees are 67 degrees and 23 degrees.