SOLUTION: The measure of an angle is one third the measure of its supplement. Find the measures of the angles? 🙈Please help.

Algebra ->  Angles -> SOLUTION: The measure of an angle is one third the measure of its supplement. Find the measures of the angles? 🙈Please help.       Log On


   

Question 907635: The measure of an angle is one third the measure of its supplement. Find the measures of the angles? 🙈Please help.
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!


let's angles be alpha and its supplement beta

supplementary angles - two angles that add to 180 degrees:
so, we have alpha%2Bbeta=180 .eq.1.....
if the measure of alpha is one third the measure of its supplement beta, than we have alpha=+%281%2F3%29beta ....eq.2
start with
alpha%2Bbeta=180 ...eq.1.....substitute alpha from eq.2
%281%2F3%29beta%2Bbeta=180
+3%281%2F3%29beta%2B3beta=180%2A3
+beta%2B3beta=540
+4beta=540
+beta=540%2F4
+beta=135
now find alpha
alpha=+%281%2F3%29beta ....eq.2
alpha=+%281%2F3%29135
alpha=+45