Find the value of x in the following diagrams, showing all working and reasoning:
Find the value of \angle ABC in the diagram shown, where ABFGHand BCDEFare regular pentagons.
Show all working and reasoning.
The given diagram shows a regular heptagon, with each side extended to form a star shape.
Find the exact value of \angle XYZ using only the points provided.
Show all working and reasoning.
Find the value of \angle SRA in the diagram shown.
Show all working and reasoning.
The given diagram shows a regular nonagon. The points P, Q, and R lie on a straight line.
Find the value of \angle SQR.
Show all working and reasoning.
A Penrose tiling is a pattern formed from two particular rhombuses. An example is shown:
By studying the diagrams above and below, state the size of the largest and smallest two angles in each pattern piece:
