SOLUTION: Unknown Angles. One angle of a triangle is 10 degrees greater the the smallest angle,and the third angle is 30 degrees less than twice the smallest angle. Find the measure of the

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Question 191194This question is from textbook Elemantary Algebra for College Students
: Unknown Angles. One angle of a triangle is 10 degrees greater the the smallest angle,and the third angle is 30 degrees less than twice the smallest angle. Find the measure of the three anglesThis question is from textbook Elemantary Algebra for College Students

Answer by orca(409) (Show Source):
You can put this solution on YOUR website!
Let x represent the measure of smallest angle, then
another angle is x + 10.
the third one is 2x - 30.
As the sum of the measures of the three angles is 180 degrees, we have
x + x + 10 + 2x - 30 = 180
Solving for x, we have
4x - 20 = 180
4x = 200
x = 50
So
The smallest is 50
the other two are:
x+10 = 60
2x-30 = 100-30 = 70