In the diagram, PQRST is a regular polygon with sides QR and TS produced to meet at V. Find the size of < RVS
Attached Figure / Diagram
A
36o
B
54o
C
60o
D
72o
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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 o
o - (o - (72o + 72o)
= 180o - 144o
= 36o
Source: Myschool Past Questions Archive (Record #36927)