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DIRECTIONS for the question: Solve the following question and mark the best possible option.
The diagram shows square PQRS and a regular hexagon PQTUVW.

What is the size of ∠PSW?
  • a)
    10°
  • b)
    12°
  • c)
    15°
  • d)
    30°
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
DIRECTIONS for the question: Solve the following question and mark the...
∠WPQ  = 120° ( interior angle of a regular hexagon),
So ∠WPS = (360 – 120 – 90)° = 150°.
Now PW = PQ (sides of a regular hexagon) and PS = PQ (sides of a square) so PW = PS.
Therefore, triangle PSW is isosceles, therefore
2∠PSW + 150° = 180 ° 
► ∠PSW =30°/ 2
► ∠PSW = 15°.
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Most Upvoted Answer
DIRECTIONS for the question: Solve the following question and mark the...
∠WPQ  = 120° ( interior angle of a regular hexagon),
So ∠WPS = (360 – 120 – 90)° = 150°.
Now PW = PQ (sides of a regular hexagon) and PS = PQ (sides of a square) so PW = PS.
Therefore, triangle PSW is isosceles, therefore
2∠PSW + 150° = 180 ° 
► ∠PSW =30°/ 2
► ∠PSW = 15°.
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DIRECTIONS for the question: Solve the following question and mark the best possible option.The diagram shows square PQRS and a regular hexagon PQTUVW.What is the size of ∠PSW?a)10°b)12°c)15°d)30°Correct answer is option 'C'. Can you explain this answer?
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