Question

PQRST is a regular pentagon an ant starts from the corner P and crawls around the corner along the border. On which side of the pentagon will the ant be when it has covered 5/8th of the total distance around the pentagon?

Answer 1

Answer:

The ant will reach at s or t

Answer 2

Answer:

Interior angle of a pentagon = 540/5 = 108°

Since QT and PR are the diagonals of the pentagon, we can say ∠QRP = ∠PTQ = 108/3 = 36°

⇒ ∠QTS = ∠PRS = 108 - 36 = 72°

And ∠TSR = 108° (Interior angle)

∴ ∠TXR = 360 - 108 - 72 - 72 = 108°

Step-by-step explanation:

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