Two straight lines AB and CD intersect at point O. ∠AOC = 112°. Find ∠AOD.
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Worked Solution
Step 1: Identify that ∠AOC and ∠AOD lie on straight line CD, so they are supplementary (they add up to 180°).
Step 2: Find ∠AOD using angles on a straight line: ∠AOD = 180° − 112° = 68°.
Step 3: Verify using vertically opposite angles: ∠AOD and ∠BOC are vertically opposite, confirming ∠BOC = 68° as well (since ∠BOC = 180° − 112° = 68° on straight line AB).
Final answer: ∠AOD = 68°
Answer: 68°
Correct answer: 68°
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