Angles in polygons

problem
First forward into Logo 7: angles of polygons

Age

11 to 18

Challenge level

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

Age

11 to 16

Challenge level

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

Age

11 to 14

Challenge level

Which hexagons tessellate?
problem
Pegboard quads

Age

14 to 16

Challenge level

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

Age

7 to 11

Challenge level

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

Age

7 to 11

Challenge level

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

Age

11 to 14

Challenge level

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

Age

11 to 14

Challenge level

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?
problem
Triangles in circles

Age

11 to 14

Challenge level

Can you find triangles on a 9-point circle? Can you work out their angles?
problem
Parallelogram in the middle

Age

11 to 14

Challenge level

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