1. Recall the definitions of the interior of an angle and the interior of a triangle. the
interior of a triangle could have been defined equally well in other ways.

a. Explain how the interior of triangle ABC can be defined as the intersection of the
three half-planes.

b. Complete the following statement to make a correct definition: "the interior of
triangle ABC is the set of all points X, in the place of triangle ABC such that
(1)..., (2)..., and (3)... ."

2. Is the interior of the triangle ABC completely determined by the intersection of
the interiors of any two of its angles? Illustrate and formulate a definition. Is it
equivalent to the previous definitions?

Can you please give me the detailed solution of this problem?
thanks in advance