SOLUTION: set up and splve in a triangle the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 20 degrees less than the second angle. W

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Question 72825: set up and splve in a triangle the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 20 degrees less than the second angle. What us the measure of each angle?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let f=first angle, s=second angle, t=third angle
f=2s the measure of the first angle is twice the measure of the second angle
t=s-20he measure of the third angle is 20 degrees less than the second angle
f%2Bs%2Bt=180The sum of all of the angles in a triangle equal 180 degrees


Plug in f=2s into f and plug in t=s-20 into t of f%2Bs%2Bt=180
highlight%282s%29%2Bs%2Bhighlight%28s-20%29=180Notice how I substituted to have only one variable in the equation
2s%2Bs%2Bs-20=180solve for s
4s-20=180Add like terms
4s=200
s=50
Plug s=50 into f=2s
f=2%2850%29
f=100
Plug s=50 into t=s-20
t=50-20
t=30
So the 1st angle is 100 degrees, the 2nd angle is 50 degrees, and the 3rd angle is 30 degrees
Check:
100%2B50%2B30=180
180=180Works