Suppose that the complement of an angle measures 5x + 4 and the supplement of an angle measures 15x - 6. Find the measure of the angle.
2007-08-30 06:39:52 · 5 answers · asked by sillyboys_trucksare4girls 2 in Science & Mathematics ➔ Mathematics
Change the first eqation to 5x + 94, and the two are now equal, since complement + 90 = supplement
So 5x + 94 = 15x - 6
10x = 100 : getting all x together and all numbers together
So x = 10
The complement is 54 degrees and the supplement is 144 degrees. 144 - 54 gives you the 90 degree difference between complement and supplement. The angle itself measures 36 degrees.
2007-08-30 06:55:54 · answer #1 · answered by Don E Knows 6 · 0⤊ 0⤋
Complementary angles add to to 90 degrees.
Supplementary angles add up to 180 degrees
Let the complement of (5x+4) be y
(5x+4)+y=90
(15x-6)+y=180
Subtract Eq. 1 from Eq.2
(15x-6)-(5x+4)=90
15x-6-5x-4=90
10x =90+6+4
10x=100
x=10
Substitute x=10 into either of the 2 original equations.
(5x+4)+y=90
50+4+y=90
y=90-54
y=36
Verification:
36+(5 times 10 +4)=36+54=90
36+(15 times 10-6)=36+144=180
2007-08-30 07:02:18 · answer #2 · answered by Grampedo 7 · 0⤊ 0⤋
(previous poster is wrong)
Y being the angle you're looking for
90 - (5x+4) = Y
and
180 - (15x - 6) = Y
so... 90 - (5x+4) = 180 - (15x-6)
solve that and substitute x in one of the two equations, find Y.
.
.
.
.
.
x is 10 and your angle is 36°
2007-08-30 06:54:54 · answer #3 · answered by Sylvainco 2 · 0⤊ 0⤋
All you need is one equation to solve.
5x + 4 = 90
5x = 86
x = 17.2
15x + 12 = 270
15x = 258
x = 17.2
2007-08-30 06:48:50 · answer #4 · answered by gebobs 6 · 0⤊ 0⤋
Dodge Ram!
2007-08-30 07:00:21 · answer #5 · answered by Dave 6 · 0⤊ 0⤋