A machinist is verifying the angles of a custom part. The part features two complementary angles, and the blueprint specifies that their difference must be 80 degrees. By setting up the system of equations $x + y = 90$ and $x - y = 80$, what are the measures of the two angles?

A carpenter is framing a roof where two rafters must meet at complementary angles. The design requirements state that the difference between these two angles must be 80 degrees. Arrange the following steps in the correct order to solve for the measures of these two angles using the elimination method as described in the course materials.

An HVAC technician is configuring a dual-vent system where two vents must be set at complementary angles. The technical manual requires the difference between these two angles to be ${}80^{\circ}$. Match each value or expression with its corresponding role in determining the exact measurements of these angles.

In a precision machining assembly, two complementary angles are required to have a difference of ${}80^{\circ}$. True or False: The measures of these two angles are ${}85^{\circ}$ and ${}5^{\circ}$.

Angle Measures in Sheet Metal Fabrication