Ok this is her homework and I do not understand!
There are three angles in triangle FPJ and the ratio is 10:6:29. What is the measure of each angle.
please list out steps and explain!
thank you.
2007-04-06 05:00:52 · 13 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
The three angles in a triangle always add up to 180 degrees.
Knowing the ratio 10:6:29 an equation can be set up so that 10x + 6x + 29x = 180
45x = 180
x = 4
Substitute x back into each ratio to find each angle
10*4 = 40
6*4 = 24
29*4 = 116
Hope this helps
2007-04-06 05:06:27 · answer #1 · answered by trojanknight_96 3 · 1⤊ 0⤋
The angles in a triangle all add up to 180, so
10 + 6 + 29 = 45
180/45 = 4
so, F = 10 x 4 = 40
P = 6 x 4 = 24
J = 29 x 4 = 116
2007-04-06 05:06:48 · answer #2 · answered by Anonymous · 0⤊ 0⤋
OK.....the three angles of a triangle always add up to 180 degrees..... the ratio of your triangle is 10 : 6 : 29 ..... so if you add those three you get forty five.... now you know that you have to multiply each of those by four so the angles are 40, 24, and 116.
2007-04-06 05:11:05 · answer #3 · answered by Anonymous · 0⤊ 0⤋
the sum of the angles in a triangle is 180 degress
they are in the ratio 10:6:29. let's say they are each a multiple of x
so the sum of the angles is 10x + 6x + 29x = 45x = 180
so x is 4 degrees
and the angles are 40, 24, 116 degrees
2007-04-06 05:10:41 · answer #4 · answered by hustolemyname 6 · 0⤊ 0⤋
Let each angle be 10x,6x and 29x.
Sum of all angles will be 10x + 6x + 29 x = 45x.
Also sum of all angles in a triangle is 180 degree
So,45x = 180
x = 180/45 = 4
So,angles are,
10x = 10(4) = 40
6x = 6(4) = 24
29x = 29(4) = 116
2007-04-06 05:07:32 · answer #5 · answered by megh 1 · 0⤊ 0⤋
in every triangle, the sum of the three angles totals 180 degrees. so to find the angles, you have to setup an equation so that the sum of the three angles = 0
so let 10x = angle F
6x = angle P
29x = angle J
Now add them together and set them equal to 180
10x + 6x + 29x = 180
45x = 180
x=4
angle F = 10 x 4 = 40
angle P = 6 x 4 = 24
angle J = 29 x 4 = 116
2007-04-06 05:09:48 · answer #6 · answered by Sam 2 · 1⤊ 0⤋
OK.. its pretty simple when you remember that the sum of the angles in a triangle must be 180 degrees
so you just do simple ratios
10+6+29 = 45
angle F = 10/45 * 180 or 40 degrees
angle P = 6/45 * 180 or 24 degrees
get it..?
You can practice with the last one 'J'.
now............go impress your kid..
.
2007-04-06 05:06:42 · answer #7 · answered by ca_surveyor 7 · 0⤊ 0⤋
All angles in a triangle add up to 180 degrees (ALL)
From here:
180/ (10+6+29) = 4
1st angle --> 40 degrees
2nd angle --> 24 degrees
3rd angle --> 116 degrees
EDIT: You can try drawing different triangles and measuring all of their angles and they will definitely add up to 180 degrees.
No algebra is needed for this problem either.
2007-04-06 05:05:17 · answer #8 · answered by Anonymous · 1⤊ 0⤋
The ratio of the angles could be 10:6:29. the sum of all anlges in a trianlge 180 degress.
10x+6x+29x = 180, x = 4
Your angles are 40, 24, and 116
I agree this is a poorly worded question. Sometime teachers and the people who write the books are such dumb asses.
2007-04-06 05:06:53 · answer #9 · answered by Anonymous · 0⤊ 0⤋
just make it an algebra problem
10x+6x+29x=180
45x=180
x=4
the angles are 40, 24 and 116 degrees.
2007-04-06 05:06:43 · answer #10 · answered by Matthew P 4 · 0⤊ 0⤋