Discussion
Assertion: the two true inclinations of a line may sum to any value up to 180 degrees. Reason: a line may be inclined independently to each principal plane.
Answer: B
Correct answer: the assertion is false, the sum never exceeding 90 degrees
The two inclinations are not independent: they are the angles a single direction makes with two mutually perpendicular planes, and for any such direction \( \theta + \phi \le 90^\circ \). The sum reaches ninety only when the line lies in a profile plane. A stated pair summing to more than ninety describes no line and indicates an error in the data.
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