In the diagram, PQRST is a regular polygon with sides QR and TS produced to…

Explanation

PQRST is a regular polygon with 5 sides-pentagon n = 5, Each exterior angle = \(\frac{360^o}{n}\)

= \(\frac{350}{5}\) = 70^o

Each interior angle = 180 - 72^o

(< s on str. line) = 180^o

Since the pentagon is regular, the exterior angles are equal < R = 72^o and < S = 72^o

< RVS = 180^o - (< R + < S)

= 180^o - (72^o + 72^o)

= 180^o - 144^o

= 36^o