Angles in polygons

problem

Cartesian Isometric

Age

7 to 11

Challenge level

3 out of 3

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

3 out of 3

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

1 out of 3

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

1 out of 3

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

1 out of 3

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

Stellar Angles

Age

11 to 14

Challenge level

1 out of 3

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

Polygon Cradle

Age

11 to 14

Challenge level

1 out of 3

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

1 out of 3

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

1 out of 3

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

Bow Tie

Age

11 to 14

Challenge level

2 out of 3

Show how this pentagonal tile can be used to tile the plane and describe the transformations which map this pentagon to its images in the tiling.