SOLUTION: The measure of one of the angles forming linear pair is less that the other angle by 100 degree. Find the measures of both the angles.

Algebra ->  Angles -> SOLUTION: The measure of one of the angles forming linear pair is less that the other angle by 100 degree. Find the measures of both the angles.      Log On


   

Question 1144651: The measure of one of the angles forming linear pair is less that the other angle by 100 degree. Find the measures of both the angles.
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

Let x = one of the angles
x - 100 = the other angle
Linear pairs add to 180 degrees (they are supplementary):
x + (x - 100) = 180

Solve for x:

2x - 100 = 180
2x = 280
x = 140 --> x-100 = 40

The two angles are 140 degrees and 40 degrees