Question

what is the measure of an measure if its 120 less than 6 times its own complement

Answer 1

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.

Answer 2

Thanks bot. <3

Answer 3

You're welcome! Let me know if you have any other questions.