Two straight lines AB and CD cross at point O on a school field marker. The angle ∠AOC = 72°. Find the size of ∠BOD, the angle directly opposite ∠AOC.
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Worked Solution
Step 1: Identify the angle relationship. ∠AOC and ∠BOD are formed by the same two lines crossing at O on opposite sides — they are VERTICALLY OPPOSITE angles.
Step 2: Vertically opposite angles are EQUAL. Therefore ∠BOD = ∠AOC = 72°.
Final answer: ∠BOD = 72°.
Answer: 72°
Correct answer: 72°
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