spicytaco
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  • 01-04-2016
  • Mathematics
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HELP DUE TODAY

Find the measure of the complement of angle KMX

HELP DUE TODAY Find the measure of the complement of angle KMX class=

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TheLukeskywalker2
TheLukeskywalker2 TheLukeskywalker2
  • 02-04-2016
We know that if two angles form a line, the sum of the angles is 180 degrees. So, 2x-3+7x+21=180. 
Combining like terms, we get 9x+18=180.
Subtracting 18 from each side, we get 9x=162.
Dividing by 9, we get x=18.
So, angle KMX is 2x-3=2(18)-3=33. 

The compliment of an angle is the angle that is needed in order to make a right angle with the sum of the angles. 

So, the compliment of 33 degrees is 57, as 33+57=90.
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