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


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 = {{{160/4}}}, or {{{highlight_green(40^o)}}}


First angle = S + 20, or 40 + 20, or {{{highlight_green(60^o)}}}


Third angle = 2(40), or {{{highlight_green(80^o)}}}


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