91Ó°ÊÓ

Find the measure of an exterior angle of each of the following equiangular polygons. a A triangle b A quadrilateral c An octagon d A pentadecagon e A 23 -gon

Find the sum of the measures of the angles of a A quadrilateral e An octagon e A g3-gon b A heptagon d A dodecagon

Find the measure of an angle of each of the following equiangular polygons. a A pentagon b A hexagon c A nonagon d A dodecagon e A 21 -gon

Find the number of sides an equiangular polygon has if each of its exterior angles is a \(60^{\circ}\) b \(40^{\circ}\) c \(36^{\circ} \quad\) d \(2^{\circ}\) e \(7 \frac{1}{2}\)

Find the number of sides an equiangular polygon has if each of its angles is \(\begin{array}{lll}\text { a } 144^{\circ} & \text { b } 120^{\circ}\end{array}\) c \(156^{\circ}\) \(\mathbf{d}\) \(162^{\circ}\) e \(172 \frac{4}{5}\)

The measures of the three angles of a triangle are in the ratio \(4: 5: 6 .\) Find the measure of each.

Find the sum of the measures of the exterior angles, one per vertex, of each of these polygons. a A triangle b A heptagon c A nonagon d A 1984-gon

In an equiangular polygon, the measure of each exterior angle is \(25 \%\) of the measure of each interior angle. What is the name of the polygon?

What is the fewest number of sides a polygon can have?

a) Prove that the perpendicular bisector of a side of a regular pentagon passes through the opposite vertex. b) Can you generalize about the perpendicular bisectors of the sides of regular polygons?