Angles in polygons

More Logo for beginners. Learn to calculate exterior angles and draw regular polygons using procedures and variables.

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

Which hexagons tessellate?

Make different quadrilaterals on a nine-point pegboard, and work out their angles. What do you notice?

Use the interactivity to investigate what kinds of triangles can be drawn on peg boards with different numbers of pegs.

Can you find all the different triangles on these peg boards, and find their angles?

Weekly Problem 30 - 2013
What is the angle $x$ in the star shape shown?

Weekly Problem 29 - 2013
An equilateral triangle is drawn inside a rhombus, both with equal side lengths. What is one of the angles of the rhombus?

Can you find triangles on a 9-point circle? Can you work out their angles?

Weekly Problem 27 - 2013
The diagram shows a parallelogram inside a triangle. What is the value of $x$?