SOLUTION: ratio of two angles of a linear pair is 2:1. Find the angles.

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Question 614987: ratio of two angles of a linear pair is 2:1. Find the angles.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of the angles of a linear pair is equal to 180 degrees.
let x represent one of the angles.
let y represent the other of the angles.
you get x + y = 180
since the ratio of one of the angles to the other is 2:1, then you get:
y = 2x which makes y the angle that has a 2:1 ratio to x.
substitute for y in the equation of x + y = 180 to get:
x + 2x = 180
combine like terms to get:
3x = 180
divide both sides of the equation by 3 to getr:
x = 60 degrees.
that makes y = 2x = 120 degrees.
the 2 angles are 60 degrees and 120 degrees.