Posted by **Shane** on Sunday, December 20, 2009 at 4:42pm.

I have tried this problem a few ways, and I am getting frustrating results. Could you help me out by showing me how to set the systems of equations

Two angles are complementary The sum of the measure of the first angle and 1/4 the second angle is 82.5. Find the measure of the angles.

I think that the first equation will look like this: x+y=82.5, but I am stuck on the set up of the second one.

- Math -
**MathMate**, Sunday, December 20, 2009 at 4:49pm
The first step in setting up equations

is to define the unknowns. Then reread the question and interpret the data as equations in terms of the defined unknowns. Finally, solve the mathematical equation(s).

Let x=first anlge, y=second angle

"Two angles are complementary":

x+y=90 ..... (1)

"The sum of the measure of the first angle and 1/4 the second angle is 82.5"

x + y/4 = 82.5 .....(2)

In general, I would be tempted to minimize the number of variables if there is a simple relationship between two variables. You could also do:

From x+y=90, write y=90-x

instead of writing

x+y/4=82.5

write

x+(90-x)/4 = 82.5 .....(3)

Solve for x in (3), one unknown and one equation.

## Answer this Question

## Related Questions

- Math - I have tried this problem a few ways, and I am getting frustrating ...
- Geometry Check please - Is the following definition of complementary angles ...
- Story problem heellp - The difference of two complementary angles is 18. What is...
- Math - The measure of two complementary angles are 6y+3 and 4y-13. Find the ...
- Math - Which of the following correctly lists angle pairs that have the same ...
- Please help with MATH - Why do complementary and supplementary angles not have ...
- Math - <L and <M are complementary angles. <N and <P are ...
- math - The ratio of measures of two complementary angles is 4 to 5. The smallest...
- Geometry - Why do complementary and supplementary angles not have to be adjacent...
- Math - Two parallel lines cut by a transversal can create all the following ...

More Related Questions