SOLUTION: 12. In geometry, two angles that sum to 180◦ are called supplementary angles. If the second of two supplementary angles is 114 degrees larger than 2 times the first angle, fi

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 12. In geometry, two angles that sum to 180◦ are called supplementary angles. If the second of two supplementary angles is 114 degrees larger than 2 times the first angle, fi      Log On


   



Question 1131304: 12. In geometry, two angles that sum to 180◦ are called supplementary angles. If the second of two supplementary angles is 114 degrees larger than 2 times the first angle, find the degree measure of both angles.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x and 2x+114 are the angles
they add to 180 degrees
so 3x+114=180
3x=66
x=22 degrees and 2x+114=158 degrees