In the figure, AOB is a straight line. Three angles meet at point O on the same side of AOB: ∠AOC = 48°, ∠COD = 2x°, and ∠DOB = (x + 12)°. Find the value of x.
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Worked Solution
Step 1: Angles on a straight line add up to 180°: 48 + 2x + (x + 12) = 180.
Step 2: Combine like terms: 3x + 60 = 180.
Step 3: 3x = 180 − 60 = 120.
Step 4: x = 120 ÷ 3 = 40.
Answer: 40°
Correct answer: 40°
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