### At a Glance

The area of a regular pentagon looks about twice as a big as the pentangle star drawn within it. Is it?

### Darts and Kites

Explore the geometry of these dart and kite shapes!

### No Right Angle Here

Prove that the internal angle bisectors of a triangle will never be perpendicular to each other.

# Angles in Three Squares

##### Age 14 to 16Challenge Level

In the diagram below, can you find angles equal to $a, b$ and $c$ from the problem?

What is special about triangle ABC?