SOLUTION: I need help with a word problem. find the measure of an angle whose complement is four times it its measure, I came up with the following. 90-x=4x 90-x+x=4xtx 90=5x 90over 5

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: I need help with a word problem. find the measure of an angle whose complement is four times it its measure, I came up with the following. 90-x=4x 90-x+x=4xtx 90=5x 90over 5       Log On


   

Question 904130: I need help with a word problem. find the measure of an angle whose complement is four times it its measure, I came up with the following.
90-x=4x
90-x+x=4xtx
90=5x
90over 5 5xover5 15 = x
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Definition: Complementary angles are the angles whose sum is 90 degrees

let the angle be x (degrees)
complementary angle will be 4x
4x%2Bx=90 (by definition)
+5x=90
x=90%2F5
x=18 (degrees)
The required angle is x=18 degrees and the complementary angle4x=72 degrees.