Question

two alternate sides of a regular polygon meet at right angle . calculate the no. of sides in the polygon

Answer 1

Answer:

8

Step-by-step explanation:

Let ABCD be the regular polygon and let its each exterior angle be x°.

Given that Two alternate sides meet at right angle.

⇒ ∠BOC = 90°

Now,

In ΔBOC,

⇒ x° + x° + 90° = 180° {Sum of angles in Δ = 180°}

⇒ 2x = 180 - 90

⇒ 2x = 90

⇒ x = 45

Thus, each exterior angle, x = 45°.

Number of sides in the polygon:

= 360°/x°

= 360°/45°

= 8.

Thus, the number of sides in the polygon = 8

Hope it helps!