2006-11-21 01:05:37 · 6 answers · asked by meg 1 in Science & Mathematics ➔ Mathematics
Let the angles be 2x, 3x and 4x
We know that the sum of the angles of a triangle is 180 degrees.
Therefore,
2x + 3x + 4x = 180
9x = 180
x = 180/9
x = 20
The measures of the angles are:
2x = 2*20 = 40 degrees
3x = 3*20 = 60 degrees
4x = 4*20 = 80 degrees
2006-11-21 01:47:42 · answer #1 · answered by Akilesh - Internet Undertaker 7 · 0⤊ 1⤋
The sum of the angles of a triangle is 180 degrees.
180/(2+3+4) = 20
1st angle = 20 x 2 = 40 degrees
2nd angle = 20 x 3 = 60 degrees
3rd angle = 20 x 4 = 80 degrees
Check:
(1) Sum of angles: 40 + 60 + 80 = 180 OK
(2) Ratio of angles: 40:60:80 = 2:3:4 OK
2006-11-21 09:13:45 · answer #2 · answered by RATTY 7 · 0⤊ 0⤋
Sum of all angles in a triangle = 180 degrees
Total number of "parts" in ratio = 2 + 3 + 4 = 9
Therefore each "part" is 180/9 = 20 degrees
Size of angles, therefore are:
40 degrees, 60 degrees and 80 degrees
2006-11-21 09:09:41 · answer #3 · answered by Tom :: Athier than Thou 6 · 0⤊ 0⤋
For ant triangle sum of all angles is 180 degrees.
The ratio of angles is 2:3:4,
Thus, 2x+3x+4x = 180
=> 9x = 180
=> x = 180/9 = 20
Thus the traingle will have angles
2*20 = 40
3*20 = 60
4*20 = 80
Which sums to 180.
2006-11-21 09:36:09 · answer #4 · answered by Paritosh Vasava 3 · 0⤊ 0⤋
2x + 3x + 4x = 180
9x = 180
x = 20
Therefore the angles are:
40° 60° 80°
2006-11-21 11:31:56 · answer #5 · answered by anashateva 2 · 0⤊ 0⤋
2x + 3x + 4x = 180
9x = 180
x = 20
Therefore the angles are:
40° 60° 80°
2006-11-21 09:09:48 · answer #6 · answered by Anonymous · 0⤊ 0⤋