The sum of interior angles of a polygon = (n – 2) × 180°

The sum of interior angles of a hexagon = (6 – 2) × 180° = 4 × 180° = 720°

Measure of each angle of hexagon =

Proved above

In Δ PUT

[Angle sum property of a triangle]

[Since ΔPUT is isosceles triangle]

Similarly

Therefore

[Using angle sum property of triangle in ΔPQT]