Solving a Problem Where the Difference of Two Complementary Angles is 20 Degrees
To find two complementary angles whose difference is degrees using a system of equations, assign variables and to their measures. Since the angles are complementary, their sum provides the first equation: . The given difference provides the second: . Using the elimination method, add the two equations together to cancel out , resulting in . Solving for gives . Finally, substitute into the first equation to find : , which yields . The measures of the two complementary angles are and .
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A technician is drafting a blueprint that requires two angles, x and y, to be complementary to form a right-angle corner. When setting up a system of equations to find these measures, which equation correctly represents the relationship between these two angles?
A carpenter is joining two pieces of wood. If the two angles, x and y, are complementary, the carpenter can represent this relationship in a system of equations using the equation x + y = ____.
A solar panel installer is calculating the specific tilt angles for a mounting bracket where two angles must be complementary. To find the measures when the difference between the angles is known, the installer uses a system of equations. Arrange the following steps in the correct order according to the standard seven-step problem-solving strategy.
A technician is installing a solar panel mount where two angles, x and y, must be complementary to ensure the bracket fits the roofline correctly. The design specifications state that the difference between these two angles is 26 degrees. Match each verbal description or procedural step to its correct algebraic representation within the system of equations.
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A welder is calculating two complementary angles, x and y, for a custom bracket design. The welder knows that the difference between the two angles is 26 degrees and sets up the following system of equations:
x + y = 90 x - y = 26
When using the elimination method, which characteristic of the variable 'y' should the welder recall as the primary reason that these two equations can be added together immediately to solve for x?
An HVAC technician is calculating two complementary angles, x and y, for a custom ductwork transition where the difference between the angles is 26 degrees. The technician sets up the following system of equations:
x + y = 90 x - y = 26
When the technician adds these two equations together to solve for x using the elimination method, which of the following is the correct resulting equation?
Solving a Problem Where the Difference of Two Complementary Angles is 20 Degrees
Solving a Problem Where the Difference of Two Complementary Angles is 80 Degrees
Learn After
A manufacturing designer is calculating the angles for two complementary metal plates where the difference between their measures must be exactly . Match each part of the mathematical process to its correct expression or value.
An HVAC technician is designing a ductwork transition where two complementary angles must have a difference of exactly 20 degrees. Arrange the following steps in the correct order to solve for these two angles using the elimination method.
An industrial designer is calculating two complementary angles for a machine component. If the specifications require the difference between these two angles to be exactly , what are the measures of the two angles?
A drafting technician is designing a template that requires two complementary angles. If the specifications state the difference between these angles must be exactly , the technician knows that the sum of these two angles must be ____ degrees.
A carpentry apprentice is reading a blueprint that requires two complementary angles to have a difference of exactly . True or False: The measures of these two angles are and .