Question 29

Diagram NOT accurately drawn
The diagram shows part of a regular n-sided polygon with
an interior angle of
an exterior angle of
Work out the value of n
n=

Practise regular-polygon questions by linking each exterior angle to 360 degrees and each interior angle to its supplement.

Diagram NOT accurately drawn
The diagram shows part of a regular n-sided polygon with
an interior angle of (9x+27)∘
an exterior angle of (2x−23)∘
Work out the value of n