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9 answers

a+b+c=180
40x-21+30-2x+15+x=180
39x=156
x=4
A=40*4-21=139
B=30-2X=22
C=15+4=19

2006-10-05 04:52:15 · answer #1 · answered by Anonymous · 0 0

Triangle

A = 40x - 21

B = 30 - 2x

C = 15 + x

Total Degrees equals 180

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40x - 21 + 30 - 2x + 15 + x = 180

39x + 24 = 180

Collecting like terms

39x + 24 - 24 = 180 - 24

Subtracting - 24 from both sides of the equation

39x = 156

39x/39 = 156/39

Dividing both sides of the equation by 39

x = 4

The answer is x = 4

The solution set is { 4 }

Insert the x value into the equation

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Check

40x - 21 + 30 - 2x + 15 + x = 180

40(4) - 21 + 30 - 2(4) + 15 +4 = 180

160 - 21 + 30 - 8 + 19 = 180

139 + 22 + 19 = 180

180 = 180

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Angle A 40x - 21 = 139 degrees

Angle B 30 - 2x = 22 degrees

Angle C 15 + x = 19 degrees

2006-10-05 05:43:15 · answer #2 · answered by SAMUEL D 7 · 0 0

In a triangle abc,
angles A+B+C=180
therefore,

40x-21+30-2x+15+x=180

39x=156

x=4
so,
A=139
B=22
c=19

2006-10-05 04:53:00 · answer #3 · answered by sarath 1 · 0 0

40x-21 + 30-2x + 15+x = 180
39x +24 = 180
39x = 156
x = 4
therefore,
Angle A = 40(4)-21 = 139 degree.
Angle B = 30-2(4) = 22 degree
Angle C = 15 +4 = 19 degree.

2006-10-05 05:04:48 · answer #4 · answered by rajiv m 2 · 0 0

In a triangle ABC ,
measure of angles A+measure of angle B+measure of angle C
=180 DEGREES...........................(1)
SO,measure of angles A+measure of angle B+measure of angle C
=40x-21+30-2x+15+2x
=40x-2x+2x-21+30+15
=40x+24.........................................(2)

now,from (1),and (2),we have
40x+24=180
40x=180-24
40x=156
x=156/40

A= 40x-21
=40*156/40 - 21
=156-21
=135 DEGREE
B=30-2x
=30-2*156/40
=30-156/20=
600-156/20
=22.2 DEGREE
C=15+x
=15+156/20
=(300+156)/20
=456/20
=22.8 DEGREE

(In a triangle ABC ,
measure of angles A+measure of angle B+measure of angle C
=135+22.2+22.8
=180 DEGREE.)

2006-10-05 05:04:55 · answer #5 · answered by Anonymous · 0 0

A+B+C=180 DEG

40X-21+30-2x+15+X=180
39X+24=180
39X=156
X=4

A=139 DEG
B=22 DEG
C=19 DEG
[SOLVED]

2006-10-05 05:03:14 · answer #6 · answered by Show Me Sunshine 2 · 0 0

Add the three angles together and set equal to 180. So...
A + B + C = 180
40x-21 + 30-2x + 15+x = 180

Now solve for x.

Once you have the value of x, do simple substitution to find each of the angle measures.

Hope this helps. Good Luck.

2006-10-05 04:51:17 · answer #7 · answered by SmileyGirl 4 · 0 0

Hi. Just a start. The total of the three angles = 180. This applies to ALL triangles.

2006-10-05 04:47:17 · answer #8 · answered by Cirric 7 · 1 0

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2016-12-04 07:26:15 · answer #9 · answered by ? 4 · 0 0

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