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When one-half the supplement of an angle is added to the complement of the angle, the sum is 120 degrees. Find the measure of the complement. What equation would I start off with to figure out this problem?

2006-09-19 14:03:36 · 4 answers · asked by Jen 2 in Education & Reference Homework Help

I am really confused, can someone explain it to me better????????

2006-09-19 14:16:33 · update #1

4 answers

1/2(180-x) + (90-x) = 120
so x = 40
And complement = 90-x = 50

2006-09-19 14:06:44 · answer #1 · answered by Anonymous · 0 0

Well, when you have a supplementary angle ( 90 half of 180) then add a complementary ( less than 90) first all you do is take the 120 degrees and subtract it by what? 90 (supplementary) then it would equal _ 30_ degrees and thats your answer!

2006-09-19 14:12:16 · answer #2 · answered by turtlelytiger 1 · 0 0

(90 + x)/2 + x =120
where x is the complement of the angle

x = 50

The measure of the complement is 50 degrees.

2006-09-19 14:15:42 · answer #3 · answered by guitarmemore 1 · 0 0

a = angle
b = supp
c= comp

a +b = 90
a +c = 180
1/2b + c = 120

b = 2(120 - c)
a = 180 - c

2(120 - c) + 180 - c = 90
240 - 2c +180 - c = 90
420 - 3c =90
420 - 90 = 3c
330 = 3c
330/3 = c
110 = c

I answered it ealier but i dont seem to see my answered posted as CrazySexyCool, but I know this is correct

2006-09-19 14:37:08 · answer #4 · answered by Anonymous · 1 0

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