SOLUTION: "the sum of two angles is 178. one angle is 26 less than twice the other. find the angles."

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Question 333072: "the sum of two angles is 178. one angle is 26 less than twice the other. find the angles."
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
"the sum of two angles is 178. one angle is 26 less than twice the other. find the angles."
.
Let x = first angle
then from "angle is 26 less than twice the other" we get
2x-26 = second angle
.
Our equation comes from "the sum of two angles is 178":
x + (2x-26) = 178
3x-26 = 178
3x = 204
x = 68 degrees (first angle)
.
second angle:
2x-26 = 2(68)-26 = 110 degrees