Two angles are complementary of each other. Twice one angle is equal to the other angle plus the product of three and five.

A. Set up a system of linear equations to represent the two angles. (Hint: You will need two equations and two unknowns.)

B. Graph each of the equations on one rectangular coordinate system. (Hint: You must get y by itself before graphing.) Scale the graph accordingly; you will need your x-axis and y-axis to go to at least 100.

C. What do you notice about the intersection of the two lines?

D. Solve the system of equations in part A to determine the degrees of each angle by using Gaussian elimination.

Reference

Alexander, D. C., & Koeberlein, G. M. (2003). Elementary geometry for college students (3rd ed.). Boston: Houghton Mifflin.
keywords: compliment, complimentary

Two angles are complimentary of each other. Twice one angle is equal to the other angle plus the product of three and five.

A. Set up a system of linear equations to represent the two angles. (Hint: You will need two equations and two unknowns.)

Let the two angles be x and ...

Solution Summary

This solution answers four questions about two complementary angles, addressing a system of linear equations, rectangular coordinate systems, intersections and the Gaussian elimination.

... a system of linear equations to represent the two angles. ... need two equations and two unknowns.) Supplementary angels: x ... is equal to the other angle minus the ...

... a system of linear equations to represent the two angles. ... need two equations and two unknowns.) Supplementary angels: x ... is equal to the other angle minus the ...

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