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

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

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