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

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
Answer by MathTherapy(10551) (Show Source): You can put this solution on YOUR website!

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 = , or

First angle = S + 20, or 40 + 20, or

Third angle = 2(40), or

Send comments and �thank-yous� to �D� at MathMadEzy@aol.com
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