Berapakah besar sudut KLM?
Matematika
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Pertanyaan
Berapakah besar sudut KLM?
2 Jawaban
-
1. Jawaban Goblin02283
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°
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