SOLUTION: The measure of one angle of a triangle is 20 degrees more than measure of the smallest angle. the measure of another angle is 8 degrees less than twice the measure of the smallest

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Question 1066994: The measure of one angle of a triangle is 20 degrees more than measure of the smallest angle. the measure of another angle is 8 degrees less than twice the measure of the smallest angle. What is the measure of each angle?
Found 3 solutions by Shin123, MathTherapy, josgarithmetic:
Answer by Shin123(626) About Me  (Show Source):
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Assume the smallest angle is z and the other angles are x and y. So
x%2B20=z (z is not the smallest angle because x is the smallest [x+20=z proves it]) and 2z-8=y And all angles in a triangle must total 180 degrees. So
x%2By%2Bz=180 2z%2By=200 y%2By=192 2y=192 y=96 2z-8=y 2z-8=96 2z=104 z=52 x%2B20=z x%2B20=52 x=32 Check: x%2By%2Bz=180 32%2B96%2B52=180 180=180
x=32 degrees
y=96 degrees
z=52 degrees

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

The measure of one angle of a triangle is 20 degrees more than measure of the smallest angle. the measure of another angle is 8 degrees less than twice the measure of the smallest angle. What is the measure of each angle? 
Those measurements from the other person are WRONG! Measure of smallest angle: highlight_green%2842%5Eo%29

You should be able to use this info. to find the other angles.

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x, smallest angle measure
x+20, "one angle"
2x-8, "another angle"

x%2B%28x%2B20%29%2B%282x-8%29=180
-
4x%2B20-8=180
4x=180%2B8-20
4x=168
x=42--------Use this to find the two remaining angles.