A pie chart shows participation: Singing $108^{\circ}$, Dancing $72^{\circ}$, Drama $90^{\circ}$, Music…

A pie chart shows participation: Singing $108^{\circ}$, Dancing $72^{\circ}$, Drama $90^{\circ}$, Music $90^{\circ}$. Which two activities together cover exactly half of the chart?
  1. Singing and Dancing
  2. Drama and Music
  3. Singing and Drama
  4. Dancing and Music

Solution

Half of the chart $= 180^{\circ}$. Drama $+$ Music $= 90+90 = 180^{\circ}$.

Asked in: IMO

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