Question

13. Two alternate sides of a regular polygon,
when produced, meet at right angle. Calculate
the number of sides in the polygon.



pls answer this question for me​

Answer 1

Answer:

Let number of sides of regular polygon = n

AB & DC when produced meet at P such that

∠P = 90°

∵ Interior angles are equal.

∠ABC = ∠BCD

180° - ∠ABC = 180° - ∠BCD

∠PBC = ∠BCP

But ∠P = 90° (Given)

∠PBC + ∠BCP = 180° – 90° = 90°

∠PBC = ∠BCP

= (1/2) × 90° = 45°

Each exterior angle = 45°

45° = 360° /n

n = 360° /45°

n = 8

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Answer 2

Answer:

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