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the measurse of the three angles of a certain triangle are in the ratio 2:2:5. Find the measure of each angle of this triangle.

2007-08-17 09:41:03 · 9 answers · asked by Chelsea M 3 in Science & Mathematics Mathematics

9 answers

hey i used to do this i guess its easy correct me if i m wrong

total of all triangle is 180

so 180/9 (the ration)

that is 20

so 20x2=40
again 40
and than 20x5=100

tht is 180

hope this is right i used to do this long back so not sure


cheers

2007-08-17 09:49:39 · answer #1 · answered by buggy 2 · 0 0

The first two angles are each 2/9 * 180 =40 and the third angle is 5/9 * 180 = 100

2007-08-17 09:57:01 · answer #2 · answered by TS 1 · 0 0

Let the measures of three angles be 2x, 2x, and 5x.
2x+2x+5x = 180, triangle angle sum theorem
9x = 180
x = 20
2x = 2*20 = 40 deg
5x = 5*20 = 100 deg
So the three angles are: 40 deg, 40 deg, and 100 deg.

2007-08-17 09:53:17 · answer #3 · answered by sahsjing 7 · 0 0

the sum of interior angle measures of a triangle is 180 degrees

let x be the measure angles

2x + 2x + 5x = 180
9x = 180
x = 20

2(20) = 40
2(20) = 40
5(20) = 100

so the measures are 40 degrees, 40 degrees, and 100 degrees

2007-08-17 09:50:46 · answer #4 · answered by      7 · 1 0

9 parts = 180°
1 part = 20°
2 parts = 40°
5 parts = 100°
Angles are 40°, 40° , 100°

2007-08-17 10:32:49 · answer #5 · answered by Como 7 · 0 0

there are 180 degrees in a triangle.
and since the ratio is 2:2:5, there exists an number x, such that 2x+2x+5x =180 = 9x
simple divison gets us x=20,
so the angles are 40, 40, and 100.

2007-08-17 09:51:05 · answer #6 · answered by Les 2 · 0 0

2*2*5----- 4*4*10------40+40*100=180 the number of degrees in a triangle

2007-08-17 10:01:33 · answer #7 · answered by Anonymous · 0 0

any angle less then 72 degrees, in which any two of the triangle have the same measure and one of which is 5/2 times as big

2007-08-17 09:50:25 · answer #8 · answered by Nishant P 4 · 0 0

A:B;c:sum
2:2:5:9
-----:180

a=2*180/9=40
B=2*180/9=40
C=5*180/9=100

2007-08-17 09:52:20 · answer #9 · answered by Anonymous · 0 0

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