JAMB 2018 · UTME · Q17

One interior angle of a convex hexagon is 170∘170^\circ and each of the remaining angles is x∘x^\circ. Find xx.

Worked solution (try it first)
  1. The interior angles of a hexagon add up to (6−2)×180∘=720∘(6 - 2) \times 180^\circ = 720^\circ.
  2. One angle is 170∘170^\circ and the other five are xx each, so 170+5x=720170 + 5x = 720.
  3. Subtract 170: 5x=5505x = 550.
  4. Divide by 5: x=110x = 110, option B.

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