PQRS is a rhombus. ∠PQR = 68°. Which of the following correctly lists all four interior angles (∠PQR, ∠QRS, ∠RSP, ∠SPQ) in order?
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Worked Solution
Step 1: Recall rhombus angle properties.
• Opposite angles are equal.
• Adjacent angles are supplementary (add to 180°).
Step 2: Find ∠QRS (adjacent to ∠PQR).
∠QRS = 180° − 68° = 112°
Step 3: Find ∠RSP (opposite ∠PQR).
∠RSP = 68°
Step 4: Find ∠SPQ (opposite ∠QRS).
∠SPQ = 112°
Step 5: Verify total.
68° + 112° + 68° + 112° = 360° ✓
Four angles in order: 68°, 112°, 68°, 112°
Correct answer: 68°, 112°, 68°, 112°
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