SOLUTION: What is the original angle, the complement angel, and the supplement if the supplement of an angle is twenty more than twice its complement?
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Question 210328: What is the original angle, the complement angel, and the supplement if the supplement of an angle is twenty more than twice its complement?
Answer by MRperkins(300) (Show Source): You can put this solution on YOUR website!
Complimentary angles add to be 90 degrees
Supplimentary angles add to be 180 degrees
let original angle = o
let compliment of original angle = c
let supplement of original angle = s
o+c=90
o+s=180
20+2c=s
This can be put in terms of the original angle (o) by rearranging the above equations.
substitute these into
so
Therefore, and
Check your answer:
Is 160=70*2+20 Yes
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