SOLUTION: so i hope this is the right section because i have a word problem and i need to build an equation and solve it. here it goes : the sum of the measures of the angles of a triangle

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Question 658404: so i hope this is the right section because i have a word problem and i need to build an equation and solve it. here it goes : the sum of the measures of the angles of a triangle is 180 degrees. find the 3 angles of a triangle if one angle is 20 degrees greater than the smallest angle and the third angle is twice the smallest angle. i know the answers are 40, 60 and 80 degrees, and i tried to make an equation but my answers did not match so i am wondering if someone can explain this to me please so i understand how? thanks so much
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so i hope this is the right section because i have a word problem and i need to build an equation and solve it. here it goes : the sum of the measures of the angles of a triangle is 180 degrees. find the 3 angles of a triangle if one angle is 20 degrees greater than the smallest angle and the third angle is twice the smallest angle. i know the answers are 40, 60 and 80 degrees, and i tried to make an equation but my answers did not match so i am wondering if someone can explain this to me please so i understand how? thanks so much

Let measure of smallest angle be S
Then first angle = S + 20
Also, third angle = 2S
Since they’re supplementary, then we can say that:
S + S + 20 + 2S = 180
4S = 180 – 20
4S = 160
S, or smallest angle = 160%2F4, or highlight_green%2840%5Eo%29

First angle = S + 20, or 40 + 20, or highlight_green%2860%5Eo%29

Third angle = 2(40), or highlight_green%2880%5Eo%29

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