Matematika

Pertanyaan

Berapakah besar sudut KLM?
Berapakah besar sudut KLM?

2 Jawaban

  • Mapel : Matematika
    Bab : Sudut

    Diketahui :
    - ∠KLM = 4x
    - ∠LKM = 84°
    - ∠KMN = (6x + 70)

    Ditanya :
    - ∠KLM = .....?

    Penyelesaian :
    - ∠KML :
    ∠KML = 180° - ∠KMN
    ∠KML = 180° - (6x + 70)
    ∠KML = 180° - 6x - 70
    ∠KML = 180° - 70 - 6x
    ∠KML = 110° - 6x

    - Nilai x :
    ∠KLM + ∠LKM + ∠KML = 180°
    4x + 84° + (110° - 6x) = 180°
    4x + 84° + 110° - 6x = 180°
    4x - 6x + 194° = 180°
    - 2x + 194° = 180°
    - 2x = 180° - 194°
    - 2x = - 14°
    x = - 14° ÷ (- 2)
    x = 7°

    - ∠KLM :
    ∠KLM = 4x
    ∠KLM = 4(7°)
    ∠KLM = 28°

    Maaf Kalau Salah
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