Graph Theory: There are 5 people at a party. Is it possible for each
person to shake hands with 3 other people?
Math Factor podcast
Answer available June 22,
next
puzzle Answer to math puzzle of June 8:
Geometry: Two tangents to a circle form a 72° angle. What is the
size of each arc between the tangent points?
From NCTM
Solution: By constructing radii from the tangent points, we have a
quadrilateral, the sum of whose internal angles is 360°. The angles
at the tangent points is 90°, of course, so that leaves 108°
for the central angle, the same as the arc size, and the other arc is
252°.