SOLUTION: In geometry, two angles that sum to 90◦ are called complementary angles. If the second of two complementary angles is 57 degrees larger than 2 times the first angle, find the

Algebra ->  Angles -> SOLUTION: In geometry, two angles that sum to 90◦ are called complementary angles. If the second of two complementary angles is 57 degrees larger than 2 times the first angle, find the      Log On


   

Question 993509: In geometry, two angles that sum to 90◦ are called complementary angles. If the second of two complementary angles is 57 degrees larger than 2 times the first angle, find the degree measure of both angles.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let angles be alpha and beta
if alpha and beta are complementary angles, then alpha%2Bbeta=90°
if the second of two complementary angles is beta is 57° larger than 2 times the first angle alpha, we have
beta=2alpha%2B57°........substitute it in alpha%2Bbeta=90°
alpha%2B2alpha%2B57=90°.............solve for alpha
3alpha=90-57°
3alpha=33°
alpha=33%2F3°
highlight%28alpha=11%29°
go to beta=2alpha%2B57° substitute 11 for alpha
beta=2%2A11%2B57°
beta=22%2B57°
highlight%28beta=79%29°

so your angles are: highlight%2811%29° and highlight%2879%29°