An HVAC technician is designing a right-triangular duct offset for a commercial building. The technician knows that the smallest angle is $a$ and the second acute angle is 50 degrees more than the smallest angle. To find the exact measures needed for the build, the technician must apply the triangle angle sum property. Which equation correctly models the relationship between all three angles of this right-triangular offset?

A technician is fabricating a right-triangular metal bracket where the measure of one angle is ${}50^\circ$ more than the smallest angle. Match each component of the geometry problem-solving process with its corresponding value or measure.

A metal fabricator is designing a right-triangular brace where one angle is ${}50^{\circ}$ more than the smallest angle. To determine the exact angle measures for the production team, the fabricator uses a standard geometry problem-solving strategy. Arrange the steps below in the correct order to solve this problem.

A structural engineer is modeling a right-triangular brace for a construction project. The smallest angle of the brace is denoted by the variable $a$, and the second acute angle is specified to be ${}50^\circ$ more than the smallest. In the engineer's geometric model, the mathematical expression used to represent the measure of this second acute angle is ____.

A fabrication technician is designing a right-triangular brace where one angle is specified to be ${}50^{\circ}$ more than the smallest angle. True or False: According to the geometry problem-solving strategy, the final step in the process is to verify the accuracy of the results by checking that the sum of all three interior angles equals ${}180^{\circ}$.