Jawab:
Penjelasan dengan langkah-langkah:
Bagian a :
∠POQ bertolak belakang dengan ∠SOR
∠POQ = ∠SOR
(2x + 16)° = 4x°
2x - 4x = - 16°
-2x = - 16°
x = -16° ÷ -2
x = 8°
Nilai x = 8°
Bagian b :
∠POQ = 2x + 16° = 2. (8°) + 16° = 16° + 16° = 32°
∠SOR = 4x = 4 × (8°) = 32°
∠QOR = 180° - ∠POQ = 180° - 32° = 148°
∠POT = 180° - (90° + 4x°)
= 90° - 4x
= 90° - (4 × 8°)
= 90° - 32° = 58°
∠POS = 180° - ∠SOR = 180° - 32° = 148°
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Jawab:
Penjelasan dengan langkah-langkah:
Bagian a :
∠POQ bertolak belakang dengan ∠SOR
∠POQ = ∠SOR
(2x + 16)° = 4x°
2x - 4x = - 16°
-2x = - 16°
x = -16° ÷ -2
x = 8°
Nilai x = 8°
Bagian b :
∠POQ = 2x + 16° = 2. (8°) + 16° = 16° + 16° = 32°
∠SOR = 4x = 4 × (8°) = 32°
∠QOR = 180° - ∠POQ = 180° - 32° = 148°
∠POT = 180° - (90° + 4x°)
= 90° - 4x
= 90° - (4 × 8°)
= 90° - 32° = 58°
∠POS = 180° - ∠SOR = 180° - 32° = 148°