SOLUTION: Two angles are complementary the measure of one angle is 3 degrees greater than twice the measure of the other angle find the measure of the greater angle

Algebra ->  Angles -> SOLUTION: Two angles are complementary the measure of one angle is 3 degrees greater than twice the measure of the other angle find the measure of the greater angle      Log On


   

Question 1081807: Two angles are complementary the measure of one angle is 3 degrees greater than twice the measure of the other angle find the measure of the greater angle
Found 2 solutions by MathLover1, rfer:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
recall: Two angles are Complementary when they add up to 90 degrees (a Right Angle right angle ).
let's one angle be alpha and other angle beta, then alpha%2Bbeta=90degrees
if measure of one angle is 3 degrees greater than twice the measure of the other, we know that
alpha=2beta%2B3 degrees substitute in
alpha%2Bbeta=90
2beta%2B3%2Bbeta=90
3beta=90-3
3beta=87
beta=87%2F3
beta=29
and,alpha=2%2A29%2B3 degrees ->alpha=61 degrees

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
x+2x+3=90
3x=90-3
x=87/3
x=29
2x+3=61