Question

The sum of interior angles of a regular polygon with k sides is (3k-10) right angles.find the size of the exterior angle.

Answer 1

Step-by-step explanation:

Sum of the interior angles of a polygon = 10 right angles 10 × 90° = 900°

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But sum of the interior angles of the polygon

= (2n – 4) right angles

i.e. 900 (2n-4) × 90°

→ 180n 360 = 900

⇒ 180n 900 + 360

⇒ 180n = 1260

⇒n=7

Hence the required number of sides = 7