Tuesday

March 31, 2015

March 31, 2015

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

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 4:49pmThe 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 ...

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 ...

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...

Math - Two parallel lines cut by a transversal can create all the following ...

Story problem - The difference of two complementary angles is 18. What is the ...

Computer Science - MATLAB - thanks mathmate. It's way above my head to. I got ...

math - Two angles are complementary. One contains 30° more than the other. Find ...