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What are the possible solutions for a pair of linear equation?
Any system of linear equations can have the following number of solutions: 0 if the system is inconsistent (one of the equations degenerates to 0=1) 1 if the system is linearly independent infinity if the system has free variables and is not inconsistent.
Can a linear pair be more or less than 180 degrees?
No. They can only be exactly 180 degrees. By definition, a linear pair is a pair of two adjacent supplementary angles, so together they must form exactly 180 degrees.
Can a pair of linear angles form a linear pair?
Yes.
Are supplementary angles necessarily a linear pair?
No. All linear pair angles are supplementary, but supplementary angles do not have to be a linear pair.
Do all supplementary angles from a linear pair Are all linear pair supplementary?
All supplementary angles do not form a linear pair. The opposite angles of any quadrilateral inscribed in a circle (a cyclic quadrilateral) are supplementary but they are not a linear pair. However, all linear pair are supplementary.
