SOLUTION: The complement of an angle measures 54° less than the angle. Find the measure of the angle. x - 54 = 90 x = 90 -x = 90 What am I missing here? Thanks, Derrick Cross

Algebra ->  Angles -> SOLUTION: The complement of an angle measures 54° less than the angle. Find the measure of the angle. x - 54 = 90 x = 90 -x = 90 What am I missing here? Thanks, Derrick Cross       Log On


   

Question 260525: The complement of an angle measures 54° less than the angle. Find the measure of the angle.
x - 54 = 90
x = 90
-x = 90
What am I missing here?
Thanks,
Derrick Cross

Found 2 solutions by drk, checkley77:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the angle and then 90-x is the compliment.
From above, we get
90-x = 54
subtract 90 to get
-x = -36
divide by -1 to get
x = 36 degrees.

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x - 54 = 90
x = 90
-x = 90
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YOU'RE MISSING THE OTHER ANGLE
X+(X-45)=90
2X-45=90
2X=90+45
2X=135
X=135/2
X=67.5 DEGREES FOR THE LARGER ANGLE.
67.5-45=22.5 DEGREES FOR THE SMALLER ANGLE.