Question

The measure of the supplement of an angle exceeds three times the measure of the complement of the angle by 12. Find the measure of half of the supplement
-please show steps- The measure of the supplement of an angle exceeds three times the measure of the complement of the angle by 12. Find the measure of half of the supplement
-please show steps- @Mathematics

Answer 1

180-x=3(90-x)+12
solve for x
the supplement is 180-x

Answer 2

i got that part. but then x=-102
and if you plug that in, is 282 which is more then 180, which doesn't make sense

Answer 3

180-x=270-3x+12
2x=102
x=51??

Answer 4

o haha
oops

Answer 5

wait so then half the supplement would be 51/2?

Answer 6

the supplement is 180-51=129 and half of it is 64.5

Answer 7

um x=25.5 not 51

Answer 8

how if 2x=102 then x is 51 but x is not the supplement ,the supplement is 180-x

Answer 9

it's -4x=102

Answer 10

x is the angle. 180-x is the supplement. 90 - x is the complement. Three times the complement is 3(90-x). The problem says the supplement is bigger than 3 times the complement. So if you want an equation, you must either add to the little one or subtract from the big one. Since the supplement is 12 bigger, let's subtract 12 from it:
supplement less 12 is equal to 3 times the complement
(180 -x ) -12 = 3(90-x)

Now solve that: 180-x-12 = 270 - 3x
168 - x = 270 - 3x
Add 3x 168 + 2x = 270
Subtract 168 2x = 102
Divide by 2 x = 52
x is the angle. the supplement is 180-x or 180-52 or 128
So half the supplement is 1/2 of 128 or 64

Answer 11

why is -12 on the left side? you didn't need to subtract it. You were supposed combine like terms on the right side making it 282

Answer 12

Because the supplement is bigger. If i want them to be equal, I can subtract from the supplement or add to 3 times the complement. I chose to subtract from the supplement.

Answer 13

There are no like terms on the right to combine.

Answer 14

yes there are. 270 and 12 are like terms

Answer 15

If you want to add to the little one which is 3 times the complement, then the equation would be: 180-x = 3(90-x) +12
180 - x = 270 -3x +12
180 - x = 282 - 3x
Add x to both sides: 180 = 282 -2x
Subtract 282 from both sides: -102 = -2x
Divide by -2: 52 = x
So the angle is 52 degrees. The supplement is 180 - 52 or 128 degrees
One half the supplement is 1/2 of 128 or 64 degrees.

Answer 16

Did you even look at the first solution I gave you? There were NO like terms on the right.

Answer 17

-3-1 is -4 not -2

Answer 18

It says to ADD x to both sides -3x + 1x = -2x

Answer 19

ok i did
180-x=3(90-x)+12
180-x=270+3x+12
180-x=282+3x
-180 -180
-x=102+3x
-3x -3x
-4x=102
/-4 /-4
x=-25.5

Answer 20

3(90-x) = 270 - 3x NOT 270 +3x

Answer 21

oooooooooooooooooo. omg that was so stupid of me!!!

Answer 22

Wake up and die right

Answer 23

die right? what is that?

Answer 24

Just an old saying. But what I don't understand is why you did not look at either one of the two correct solutions I gave you. You would have found that error.

Answer 25

i did look
i guess i just didn't notice

Answer 26

wait. ok so then you get 102/2= 51

Answer 27

not 52

Answer 28

Yep. So the angle is 51 and the supplement is 129 and half the supplement is 64.5

Answer 29

ooooo. THANKS SO MUCH!!!

Answer 30

So the angle is 51, the supplement is 129 and the complement is 39. Three times the complement is 3(39) or 117. add twelve to it and you get the supplement which is 129.