Question 823837
from the ratio 3:1 we can say its basically 3
since the 1 is  representing the "small" portion of the complementary angle, we can make the variable x
Since 3 is representing the big portion of the complementary angle. because 3 is 3 times bigger than 1 we can make the big side equal to 3x

we know a complementary angle equals 90 degrees so we can make an equation using the variables that we made for the big angle and small angle.
x+3x=90
simplify equation
4x=90
x=22.5 <== this is the answer to the small angle
 If you also want to find the big angle plug x into the big angle variable
3x-->3(22.5)=67.5 <=== this is the big angle amount




Answer:
small angle =22.5 (degrees)