At point O, three angles are formed: a reflex angle of 220°, an angle of (4n + 8)°, and an angle of 2n°. Find the value of the angle (4n + 8)°.
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Worked Solution
Step 1: All angles at a point — including the reflex angle — sum to 360°.
220 + (4n + 8) + 2n = 360
Step 2: Collect like terms.
6n + 228 = 360
Step 3: Solve for n.
6n = 360 − 228 = 132
n = 22
Step 4: Find the required angle.
(4n + 8)° = 4(22) + 8 = 88 + 8 = 96°
Check: 220 + 96 + 2(22) = 220 + 96 + 44 = 360° ✓
Answer: 96°
Answer: 96°
Correct answer: 96°
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