diketahui <pso=3x° dan <pqo=2x° jika besar <qrs=75° maka nilai x

2 Jawaban

  • Bab Lingkaran
    Matematika SMP Kelas VIII

    ∠P + ∠R = 180°
    ∠P = 180° - 75°
    ∠P = 105°

    ∠O = 2 . ∠R
    ∠O = 2 . 75°
    ∠O = 150°

    3x + 105° + 150° + 2x = 360°
    5x = 360° - 255°
    x = 105°/5
    x = 21°

    jawabannya B
  • < SOQ (1) = 2 × < SRQ = 2 × 75° = 150°
    < SOQ (2) = 360° - 150° = 210°
    < SPQ = 1/2 × < SOQ (2) = 1/2 × 210° = 105°
    < SPQ + < PQO + < SOQ (1) + < PSO = 360°
    105° + 2x° + 150° + 3x° = 360°
    5x° + 255° = 360°
    5x° = 360° - 255°
    5x° = 105°
    x = 105°/5
    x = 21°
    Jadi nilai x adalah 21° (b)