math help!!!!!!!?

Question

in triangel ABC, the measure of angel B is 21 less than four times the measure of angel A, and the measure of angel C is 1 more than five the measure of angel A. find the measure, in degrees, of each angle of triangel ABC.

Answer 1

Well, for starters, we know that our triangle has to be equal to 180 degrees by the time we're done.

Therefore, 180= A+B+C <---the letters represent each angle

We also know that B=4A -1 and that C= 5A + 1

From there we're just going to substitute the equations for B and C into your original equation.

That's:
180= A+ (4A - 21)+ (5A +1)
Then we go ahead and solve that sucker. Add like terms (sorry, not sure what math level you are, so putting in simplest terms.). That means we add our A's and our numbers.

180= 10A - 20

Okay, then we add 20 to both sides.

200= 10A

Divide both sides by 10

And we've got our angle for A= 20 degrees.

From there, we plug 20 back in wherever we see A in our other equations.

So: B= 4A - 21
B= 4 (20) -21
B = 80 -21
B = 59

And that's our B angle.... 21 degrees.

From here, we can plug back in to the original equation to find C.
180= A+B+C
180= 20 + 59 + C
180= 79 + C

Subtract 79 from both sides.

C= 101 degrees

Feel free to instant message or email if you need anymore help or clarification.

Answer 2

In your question find the angle that is mentioned most often, in this case angle A and let it be x
If this is true then angle B would be 4 times x or 4x-21 and angle C would be 5times x or 5x+1
We now have an equation because we know that all the angles in a triangle are equal to 180 degrees
Therefore angle A+ B + C =180
Therefore x+4x-21+5x+1=180
Now add all the x's 10x -20=180
Add 20 to either side 10x-20+20=180+20
Therefore 10x=200
Now divide both side by 10 and you get x=20
Therefore angle A equals 20 degrees
To find angle B substitute 20 into 4x-21 and
you get 4(20)-21=80-21=59
Therefore angle B is 59 degrees
Now substitute x into our formula for angle C and you get 5(20)+1=100+1=101
Therefore angle C is 101 degrees
Pop these numbers into your equation and if they are correct the left side should equal the right side of the equation
20+59+101=180
180+180

Answer 3

A=20; B=59; C=101, all in degrees

Answer 4

Remember in a triangle the degrees sum up to equal 180. Split it piece by piece and make an equation equal to 180. Here's my setup for the problem.
B = 4A - 21
C = 5A + 1
A = A
Now, that I've converted all parts into equations with A in them, add them all up and set equal to 180. Solve for A and then plug back into the A, B, C equations to get the values.

Answer 5

B=4A-21
C=5A+1
A+B+C=180
A+4A-21+5A+1=180
10A=200
A=20°
B=4A-21=80-21=59°
C=5A+1=100+1=101°

The angles are:
A=20°
B=59°
C=101°

check
20+59+101=180°

Answer 6

The three interior angles in a triangle always add up to 180 degrees.

let angle a = x degrees
then angle b = 4x - 21
angle c = 5x + 1

so x + 4x - 21 + 5x + 1 = 180

You should be able to solve it from here.