pq and qr are 2 sides of a regular 12 sided polygon. or is a diagonal of the polygon.

Question

work out the size of angle prq

Answer 1

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.