*Four times the complement of an angle is 20 degrees less than the angle. Find the measure of the angle*
I need to answer my kid.
Please!
2006-10-10 01:35:54 · 10 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Let the original acute angle be x degrees
4 times the complement of x + 20 degrees = x degrees
=> 4 * (90 - x) + 20 = x
=> 360 - 4x + 20 = x
=> 380 = 5x
=> x = 76 degrees
2006-10-10 01:45:35 · answer #1 · answered by fsm 3 · 0⤊ 0⤋
An angle's complement is 90 degrees minus that angle; they should add to 90 degrees. So we can use that (90-x) as our complement for now, and multiply that by 4. All this is equal to x (the angle) minus 20.
So 4(90-x) = x-20.
Simplifying, we get the angle x equals 76 degrees.
2006-10-10 08:48:10 · answer #2 · answered by Katy K 1 · 0⤊ 0⤋
call the angle x.
so the complement is 180 -x
we have equation:
4* ( 180 -x) = x- 20
=> 720 -4x = x-20
=> 5x = 740
=> x = 148.
Check out: 180 -148 = 32
4 * 32 = 128 = 148 -20.
ok
so the angle is 148
2006-10-10 08:43:58 · answer #3 · answered by hoang_hiepsi 4 · 0⤊ 0⤋
the compliment of an angle is the angle to make 180 (i think) so, you can use this simple algebra
4(180 - X) = X - 20
or 720 - 4X = X - 20
740 = 5X
so the angle is 740 over 5 = 148 degrees
2006-10-10 08:42:57 · answer #4 · answered by harry 1 · 0⤊ 0⤋
X+Y=90(THE ANGLE IS X AND ITS COMPLEMENT Y)
X-4Y=20
X=20+4Y
20+4Y+Y=90
20+5Y=90
5Y=90-20
5Y=70
Y=14
X=90-14
X=76
2006-10-10 08:55:11 · answer #5 · answered by ahujas_son 1 · 0⤊ 0⤋
let angle be A
COMPLEMENT OF A IS 90-A
THUS 4(90-A)=20
=====>90-A=5
=====>A=90-5
=====>A=85
THE REQURIED ANGLE IS 85
2006-10-10 08:44:13 · answer #6 · answered by purushotham s 1 · 0⤊ 1⤋
complement of angle x = 90 - x
hence:
4 * (90 - x) = x - 20
360 - 4x = x - 20
380 - 4x = x
380 = 5x
380 / 5 = x
76 = x
2006-10-10 09:01:33 · answer #7 · answered by michaell 6 · 0⤊ 0⤋
90 degree or 70 degree
2006-10-10 08:39:13 · answer #8 · answered by Anonymous · 0⤊ 1⤋
answer is 148 degrees.
4(180-x) = x-20 solve for x
720-4x=x-20
740=5x
x=740/5
etc
2006-10-10 08:41:25 · answer #9 · answered by cmsrmt 2 · 0⤊ 0⤋
inadequate data
2006-10-10 09:00:52 · answer #10 · answered by ur_rohitfunky 1 · 0⤊ 0⤋