SOLUTION: In a triangle, the sum of the measures of the first and the second angles is twice of the measure of the third angle. If the measure of the second angle is 10° l

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Question 1166488: In a triangle, the sum of the measures of the first and the second angles is twice of the measure of the third angle. If the measure of the second angle is 10° less than the measure of the third angle, then find the measures of the three angles.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
first            x
second          t-10
third            t
SUM             180

x%2Bt-10=2t

x=10%2B2t-t
x=10%2Bt
Using this for x, sum of measures of interior angles:
%28t%2B10%29%2B%28t-10%29%2Bt=180
3t=180
t=60 
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The measures of the three angles:
first        70
second       50
third        60
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