one angle of a triangle is 4 times as large as another . the third agnle is equal to the sum of the other two angles. what is the measure of the smallest triangle? (hint: the sum of the measures of the angles of a triangle is 180 degrees.)
i need an equation so i know what to do and if you could please follow me through it. thanks!
2006-10-09 14:55:28 · 10 answers · asked by xxd3bbst3Rsxx 2 in Science & Mathematics ➔ Mathematics
Let x be the smallest angle
The second angle is 4x.
The third angle is the sum of the other two or (x+4x)
All three add up to 180 so...
x (first angle) + 4x (second angle) + (x+4x) (third angle) = 180
x + 4x + (x+4x) = 180
10x = 180
x = 18
2006-10-09 14:57:41 · answer #1 · answered by Anonymous · 2⤊ 0⤋
Well, if the total is 180, then they would both have to be 90, or one would have to be 90, and the other would have to be 90...therefore, the equation for the two angles would be 4x + x = 90, and 5x=90 = x=18, so the three angles would be 18, (4x) or 72, and 90.
How does that sound?
2006-10-09 22:01:12 · answer #2 · answered by Single Man in NYC 1 · 0⤊ 0⤋
so you know the total degrees for the triangle is 180.
one angle = x
second angle = 4x
third angle is those two together = x + 4x
add them all up to get 180
x + 4x + (x+4x) = 180
solve! yay
2006-10-09 22:00:43 · answer #3 · answered by ChiKale 2 · 1⤊ 0⤋
20 80 100
2006-10-09 21:56:40 · answer #4 · answered by ? 3 · 2⤊ 1⤋
1st <= x
2nd<=y
3rd<=z
x= 4y
z=x+y
180=x+y+z
180= 4y+y+z
180=10y
18=y
x=4(18) = 72
z= 90
2006-10-09 22:07:31 · answer #5 · answered by Anonymous · 0⤊ 0⤋
this is one of those 'work backwards' problems and they are very simple when you have the sort of mind that you can sort things out in your brain. what u have to do is work out the problem backwards. add the degrees of the angles they already gave you and subtract that ammount from 180.
2006-10-09 21:57:59 · answer #6 · answered by Anonymous · 2⤊ 0⤋
4x + x + (4x + x) = 180º
10x = 180º
Angle one > x= 18º
Angle two > 4x= 72º
Angle three is the sum of 72º + 18º = 90º
2006-10-09 22:01:18 · answer #7 · answered by mystic_golfer 3 · 0⤊ 0⤋
i BELIEVE THAT ITS A BASIC FORMULA FOR THE ISOSCELES TRIANGLE...?
2006-10-09 21:58:55 · answer #8 · answered by Anonymous · 0⤊ 0⤋
Srry I don't now ask someone smart
2006-10-09 21:56:27 · answer #9 · answered by Applebomb 1 · 0⤊ 3⤋
this is geometry
and i hate geometry!!!!!
2006-10-09 21:56:30 · answer #10 · answered by booyah™ 7 · 0⤊ 3⤋