SOLUTION: The measure of angle rst is 6 degrees less than 3 times the measure of it's complement. Find m angle rst.

Algebra ->  Angles -> SOLUTION: The measure of angle rst is 6 degrees less than 3 times the measure of it's complement. Find m angle rst.      Log On


   



Question 1015485: The measure of angle rst is 6 degrees less than 3 times the measure of it's complement. Find m angle rst.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
C=measure of complement
R=measure of angle RST = 3C-6
.
C+R=90 . Substitute (3C-6) for R
C+(3C-6)=90
4C-6=90
4C=96
C=24
.
R=3C-6=3(24)-6=72-6=66
.
ANSWER: The measure of Angle RST is 66 degrees.
.
CHECK:
C+R=90
24+66=90
90=90
.