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July 28, 2014

July 28, 2014

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.

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