Postulate: if two lines intersect, then they intersect in exactly one point. true or false
theorem: if two distinct planes intersect, then they intersect in exactly one line. true or false

Step-by-step explanation:

The given postulate If two lines intersect, then they intersect in exactly one point is true because whenever the two lines intersect they intersect at one point only and we know that a postulate  is a statement that we accept without proof.

The given theorem If two distinct planes intersect, then they intersect in exactly one line is true as theorem is a statement that has been proved and it has been proved that if  two distinct planes intersect, then they intersect in exactly one line.

The figures are drawn to prove them.