SOLUTION: of the tree angles of a triangle the second is one-third the first and the third is 26 degree more than the first. how many degrees are there in each angle.

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: of the tree angles of a triangle the second is one-third the first and the third is 26 degree more than the first. how many degrees are there in each angle.      Log On


   

Question 100027: of the tree angles of a triangle the second is one-third the first and the third is 26 degree more than the first. how many degrees are there in each angle.
Answer by doukungfoo(195) About Me  (Show Source):
You can put this solution on YOUR website!
let angle one equal x
Given: angle two equals 1/3 the first
angle two = x/3
Given: angle three equals 26 degrees more than the first
angle three = x+26
Known: the sum of all angles in a triangle equals 180 degrees
angleOne%2BangleTwo%2BangleThree=180
x%2Bx%2F3%2Bx%2B26=180
2x%2Bx%2F3%2B26=180
%286x%29%2F3%2Bx%2F3%2B26=180
7x%2F3%2B26=180
7x%2F3=180-26
7x%2F3=154
7x=%28154%29%283%29
7x=462
x=66
So the first angle equals 66 degrees
angle two = x/3 = 66/3 = 22 degrees
angle three = x+26 = 66+26 = 93 degrees
check sum of all angles equals 180
66+22+93=180