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.

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) (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

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

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