Three angles meet at a central point in the ratio 2 : 3 : 7. Find the size of the largest angle.
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Worked Solution
Step 1: Find the total number of ratio parts: 2 + 3 + 7 = 12.
Step 2: Find the value of 1 part: 360° ÷ 12 = 30°.
Step 3: The largest angle corresponds to 7 parts: 7 × 30° = 210°.
Verify: 2×30° + 3×30° + 7×30° = 60° + 90° + 210° = 360°. ✓
Answer: 210°
Correct answer: 210°
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