The measure of an angle is 3 times the measure of its supplement.
Can anyone explain to me how to solve this and what the answer is? Thank you!
2007-11-20 12:51:04 · 8 answers · asked by Kelly 3 in Science & Mathematics ➔ Mathematics
I forgot to mention that you're solving for x. So is the answer 135 or 45?
To me, it seems like it is 135.
2007-11-20 13:26:17 · update #1
In solving this kind of problem, you have to translate statements into representations and equations.
Let x be the angle
and y it's supplement.
Translate the sentence into equation word for word:
The angle is 3 times its supplement
x = 3 * y
then you can say:
x = 3y
We know that two angles are supplementary if and only if their sum is 180 degrees. So, we add the two angles and equate it to 180, that is:
3y + y = 180
4y =180
y = 45, this is the supplement.
Remember that the angle is 3 times its supplement:
x =3y
therefore: x = 3(45)
x = 135
or you can subtract 45 from 180 and get the same answer.
2007-11-20 13:03:57 · answer #1 · answered by activista 2 · 0⤊ 0⤋
Take a variable: lets use n
n = the measure of an angle
(180 - n) = it's supplement
So you translate the English to math:
[The measure of an angle] is 3 TIMES the [measure of its supplement].
n = 3(180 - n)
n = 3*180 - 3*n
n = 540 - 3n
n + 3n = 540 - 3n + 3n
4n = 540
4n/4 = 540/4
n = 135
Check:
135 =? 3(180 - 135)
135 =? 3(45)
135 = 135
2007-11-20 20:58:23 · answer #2 · answered by Cassy1122 4 · 0⤊ 0⤋
an angle b and its supplement add up to 180 degrees.
let's call the angle b and it's supplement a
a +b =180
and
3a =b
substituting b =3a into the equation
a + b =180 , we get
a +3a = 180
4a =180
a =180/4 =45
3a = 135
b =135
the 2 angles are 135 and 45
The answer is
angle = 135 degrees.
2007-11-20 20:56:54 · answer #3 · answered by Any day 6 · 0⤊ 0⤋
Supplement means 2 angles add up to 180 degrees..
So..
3x + x = 180 or.. 4x = 180
x = 45..
so the first angle is 135, the 2nd is 45
2007-11-20 20:54:11 · answer #4 · answered by 港式奶茶 3 · 0⤊ 1⤋
[08]
Let the angle be x degrees
Therefore its supplement is 180-x degrees
By the problem
x=3(180-x)
x=540-3x
x+3x=540
4x=540
x=135 degrees
The measure of the angle is 135 degrees
2007-11-20 20:56:45 · answer #5 · answered by alpha 7 · 0⤊ 0⤋
we know that supplementary angleas are equal to 180.
lets call the angle 180-x and the other supplement x.
180-x = 3x
180 = 4x
45 = x
the 2 angles are 45 and 135.
2007-11-20 20:55:45 · answer #6 · answered by Ari 6 · 0⤊ 0⤋
let x be the angle
x = 3(180-x)
4x = 540
x =135
2007-11-20 20:55:29 · answer #7 · answered by norman 7 · 0⤊ 0⤋
3x and x
4x=180
x= 45
3x45=135
2007-11-20 20:54:25 · answer #8 · answered by UNIQUE 3 · 0⤊ 0⤋