Gate2018 cs Q8

0. In the figure below, ∠DEC+∠BFC is equal to __________.

  • Option : A
  • Explanation :

    ∠E + ∠F = ?
    α + q + E = 180       ...(i)
    α + β + F = 180       ...(ii)
    α + β + p + q = 360       ...(iii)
    Equation (i) + (ii) = (iii)
    α + q + E + α + β + F = α + β + p + q
    E + F = p - α
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