In the diagram, PQRST is a regular polygon with sides QR and TS produced to meet at V. Find the size of
-
A.
36o -
B.
54o -
C.
60o -
D.
72o
Correct Answer: Option A
Explanation
PQRST is a regular polygon with 5 sides-pentagon n = 5, Each exterior angle = (frac{360^o}{n})
= (frac{350}{5}) = 70o
Each interior angle = 180 – 72o
(o
Since the pentagon is regular, the exterior angles are equal o and oo – (
= 180o – (72o + 72o)
= 180o – 144o
= 36o