Let's call the measure of the angle "x" and its complement "y".
We know that the sum of an angle and its complement is 90 degrees:
x + y = 90
We also know that the measure of the angle (x) is 120 less than 6 times its complement (y):
x = 6y - 120
Now we can substitute the first equation into the second equation, solving for y:
(6y - 120) + y = 90
7y - 120 = 90
7y = 210
y = 30
Now we can use this value to find x:
x = 6y - 120
x = 6(30) - 120
x = 60
So the measure of the angle is 60 degrees.
what is the measure of an measure if its 120 less than 6 times its own complement
3 answers
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