Math

posted by .

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 -

    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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    Two angles are complementary. The sum of the measure of the first angle and one-fourth of the second angle is 69 degrees. Find the measures of the angles. What is the measure of the smaller angle?
  2. Algebra

    Two angles are complementary. The sum of the measure of the first angle and one-fourth of the second angle is 69 degrees. Find the measures of the angles. What is the measure of the smaller angle?
  3. Math

    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 …
  4. math

    Two angles are complementary. THe sum of the measure of the first angle and one forth of the second angle is 58.5 dagrees. Find the measure of the angles.
  5. algebra

    two angles are complementary. the sum of the measure of the first angle and half the second angle is 87 degrees. find the measure of the angles. What is the measure of the smaller angle?
  6. Math

    The measure of two complementary angles are 6y+3 and 4y-13. Find the measures of the angles. ( In this question, are they saying 2 different complementary angle?
  7. Story problem heellp

    The difference of two complementary angles is 18. What is the measure if the two angles Hint complementary angles sum to 90 degrees
  8. math

    The ratio of measures of two complementary angles is 4 to 5. The smallest measure is increased by 10%. By what percent must the larger measure be decreased so that the two angles remain complementary?
  9. Geometry Check please

    Is the following definition of complementary angles reversible?
  10. Math

    The measure of (Angle) A is 4 degrees greater than the measure of (Angle) B. The two angles are complementary. Find the measure of each angle. (I tried 41+45 but that didn't work out, anyone got any steps to solve this?

More Similar Questions