pq and qr are 2 sides of a regular 12 sided polygon. or is a diagonal of the polygon.
work out the size of angle prq
To find the size of angle PRQ, we need to find the measure of each interior angle of the regular 12-sided polygon.
The formula to find the measure of each interior angle of a regular polygon is:
Interior angle = (n-2) * 180 / n
Where n is the number of sides of the polygon.
For a 12-sided polygon, n = 12.
Interior angle = (12 - 2) * 180 / 12
= 10 * 180 / 12
= 1800 / 12
= 150 degrees
Since QR is a diagonal, angle PRQ is half of the interior angle of the polygon.
Angle PRQ = 150 degrees / 2
= 75 degrees
Therefore, the size of angle PRQ is 75 degrees.