English Deutsch Français Italiano Español Português 繁體中文 Bahasa Indonesia Tiếng Việt ภาษาไทย
All categories

In a triangular flowerbed the smallest angle of the flowerbed is 6° less than the next larger angle, which is 30° less than the largest angle. Find the measure of each angle. (Remember, the sum of the measures of the angles in a triangle is 180°.

2007-10-04 10:09:28 · 10 answers · asked by bollionaire 2 in Science & Mathematics Mathematics

10 answers

x + (x+6) + (x+30+6)=180
3x+42=180

solve for x (smallest angle), then add 6 and 36 to get the other two.

2007-10-04 10:12:16 · answer #1 · answered by tinfoil666 3 · 1 1

Let the largest angle be x, so the second angle is (x - 30), and the third angle is (x - 36), so:

x + (x - 30) + (x - 36) = 180, so

x + x - 30 + x - 36 = 180, so

3x - 66 = 180, so

3x = 246, so

x = 246/3, so

x = 82.

so the angles are: 82, 52, and 46.

Hope this helps, Twiggy.

2007-10-04 17:17:33 · answer #2 · answered by Twiggy 7 · 0 0

Let the smallest angle be x degrees. Then the next one up is x+6, and the largest one is x+36. So x + x+6 + x+36 = 180. You should be able to solve it from there.

2007-10-04 17:19:14 · answer #3 · answered by Judy 7 · 0 0

largest angle = x
second largest angle = x-30
third angle = x-36

x+x-30+x-36=180

3x-66 = 180
+66 +66
------ -----
3x = 180
---- -----
3 3

x = 82

substitute x with 82.

largest angle = 82.
second largest angle = 52
third angle = 46

82
52
46+
-----
180

TADA!!!!!
wait!!!!
i was here first!!!
its just that it took a long time to type all of this down!!!!!!!!!!!

2007-10-04 17:26:36 · answer #4 · answered by No 3 · 0 0

the first angle = 46
the second angle = 52
the third angle = 82
(46+52+82=180)
Good question

2007-10-04 17:20:29 · answer #5 · answered by Anonymous · 0 0

82, 52, 46. Just had to try different combinations

2007-10-04 17:24:00 · answer #6 · answered by bsebl12 1 · 0 0

a + b + c =180

a =x
b = x-30
c = x-36

x + (x-30) + (x-36) = 180

3x = 246

x = 82

a=82
b=52
c=46

2007-10-04 17:20:37 · answer #7 · answered by Vampire 1 · 0 0

82, 52, 46

2007-10-04 17:14:41 · answer #8 · answered by Critical Mass 5 · 0 2

So if the angles are a, b and c

a=b-6
b=c-30
a+b+c=180

Plug, chug and solve

2007-10-04 17:13:45 · answer #9 · answered by Anonymous · 0 2

a= 46
b=52
c=82

Or did you want to know how to do it?

2007-10-04 17:16:42 · answer #10 · answered by sandysstyles 2 · 0 1

fedest.com, questions and answers