Angles in polygons

problem

Fred the Class Robot

Age

7 to 11

Challenge level

Billy's class had a robot called Fred who could draw with chalk held underneath him. What shapes did the pupils make Fred draw?
problem

Cartesian Isometric

Age

7 to 11

Challenge level

The graph below is an oblique coordinate system based on 60 degree angles. It was drawn on isometric paper. What kinds of triangles do these points form?
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

Logo Challenge 3 - Star Square

Age

7 to 16

Challenge level

Creating designs with squares - using the REPEAT command in LOGO. This requires some careful thought on angles
problem

Gibraltar Geometry

Age

11 to 14

Challenge level

Take a look at the photos of tiles at a school in Gibraltar. What questions can you ask about them?
problem

Isosceles Meld

Age

11 to 14

Challenge level

Weekly Problem 9 - 2012
What is the angle QPT in this diagram?
problem

Stellar Angles

Age

11 to 14

Challenge level

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

Polygon Cradle

Age

11 to 14

Challenge level

Weekly Problem 18 - 2007
A regular pentagon together with three sides of a regular hexagon form a cradle. What is the size of one of the angles?
problem

Angle Hunt

Age

11 to 14

Challenge level

Weekly Problem 39 - 2010
If you know three lengths and an angle in this diagram, can you find another angle by calculation?
problem

Outside the Nonagon

Age

11 to 14

Challenge level

Weekly Problem 44 - 2010
Extend two of the sides of a nonagon to form an angle. How large is this acute angle?