JAMB 2002 · UME · Q18

The sum of the interior angles of a polygon is 20 right angles. How many sides does the polygon have?

Worked solution (try it first)
  1. 20 right angles is 20×90∘=1800∘20 \times 90^\circ = 1800^\circ.
  2. The interior angles of an nn-sided polygon add up to (n−2)×180∘(n - 2) \times 180^\circ, so (n−2)×180=1800(n - 2) \times 180 = 1800 and n−2=10n - 2 = 10.
  3. So n=12n = 12, option B.

Report a problem with this question