SOLUTION: the measure of one of two adjacent angles is 116 degree more than thrice the other . find the measure of both angles if this sum is 140 degree

Algebra ->  Polygons -> SOLUTION: the measure of one of two adjacent angles is 116 degree more than thrice the other . find the measure of both angles if this sum is 140 degree       Log On


   

Question 760531: the measure of one of two adjacent angles is 116 degree more than thrice the other . find the measure of both angles if this sum is 140 degree
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the measure of one of two adjacent angles is 116 degree more than thrice the other . find the measure of both angles if this sum is 140 degree
------
Equation:
a + b = 140 degrees
a = 3b+116
-----
Substitute for "a" and solve for "b":
3b+116 + b = 140
4b = 24
b = 6 degrees
----
a + b = 140
a + 6 = 140
a = 134 degrees
==================
Cheers,
Stan H.
====================