Point x is the center of regular pentagon rstuv. what is the measure of the angle of rotation that will map s onto u?

The angles at a point add up to 360°.

Draw the Pentagon and join each vertex to point X (the center of the Pentagon).

This gives us 5 isosceles triangles. Since the polygon is regular, the angles at the center (∅) are equal.

Ф=360÷5=72°

We can now get the angle of rotation by either moving clockwise or anticlockwise.

This means we are going to have 2 answers.

   1. The angle of rotation in clockwise direction = 72°×2=144°

    2. The angle rotation in anticlockwise direction = 72°×3=216°