91Ó°ÊÓ

If an exterior angle of a polygon is obtuse, what can one say about the corresponding interior angle?

Show that the sum of the measures of the interior angles of a convex polygon of \(\mathrm{n}\) sides equals \((\mathrm{n}-2) \cdot 180\). (It is given that the sum of the measures of the angles of a triangle is \(\left.180^{\circ} .\right)\)

What is the measure of the interior angle of a regular triangle? A regular quadrilateral? A regular 10 -gon? A regular 2000 -gon?

Find the greatest number of sides that a regular polygon can have and yet still have an Integral number of degrees in each Interior angle.