SOLUTION: Two angles are complementary. One angel is 4 less than three times the other angle. Find the measure of the angles.

Question 653319: Two angles are complementary. One angel is 4 less than three times the other angle. Find the measure of the angles.
Answer by Shana-D77(132) (Show Source): You can put this solution on YOUR website!
Here we set up two equations and then put them together.
First, we need to remember that complementary angles add to 90.
So,
Let x = one angle
Let y = the other angle
x + y = 90 (the complementary angles add to 90). This is our first equation.

Now we literally translate word-for-word "One angel is 4 less than three times the other angle":
one angle(x) IS(=) four less than(-4) three times the other angle(3y)
let's clean that up a bit:
x = 3y - 4
((remember "less than" is always a subtraction at the end)

our two equations are:
x = 3y - 4
x + y = 90

Since we know x = 3y - 4, we plug this into the other equation:
x + y = 80
(3y - 4) + y = 90 (This is the hardest part to get. Study this part until you get it and then these problems will be easy from now on. If you can't get this part, email me and I will explain further.)
4y - 4 = 90 (combined like terms)
4y = 94 (added 4 to both sides)
y = 23.5 degrees
Since one angle is 23.5 degrees, the other complementary angle is 90 - 23.5 = 66.5 degrees.
RELATED QUESTIONS
Two angles are complementary. One angle is 4 degrees less than three times the other... (answered by rfer)

two angles are complementary. one angle is ten less than three times the other angle.... (answered by DrBeeee,shweta)

Two angles are complementary. One angle is 14 degrees less than three times the other.... (answered by rfer)

two angles are complementary. one angle is 10degr. less than 9 times the other. find the... (answered by rmromero)

Two angels are complementary. One angle is 10 less than three times the other angle. Find (answered by addingup)

Two angles are complementary. The measure of one angle is 10 less than nine times the... (answered by friesr)

Two angles are complementary. The measure of one angle is 2� more than three times the... (answered by oberobic)

Two angles are complementary. The measure of one angle is 42� more than three times the... (answered by ReadingBoosters)

Two angles are complementary. The measure of one angle is 46° more than three times the... (answered by greenestamps,Shin123)