The size of p, q and r from the regular polygon ABCDE is 108°, 72° and 72° respectively.
What is the size of p, q and r?
Measure of each interior angle = [(n – 2) × 180°]/n
= {(5-3)×180°} / n
= 3×180° / n
= 540°/5
= 108°.
So,
p = 108°
q = 108° - 36°
= 72°
r = 180° - 108° (sum of angles on a straight minus interior angle of a polygon)
r = 72°