In the figure, lines AB and CD intersect at point O. ∠AOC is 4 times ∠BOC. Find ∠AOC.
Show Worked Solution
Worked Solution
Step 1: ∠AOC and ∠BOC lie on straight line AB, so ∠AOC + ∠BOC = 180°.
Step 2: Let ∠BOC = x. Then ∠AOC = 4x.
Step 3: 4x + x = 180°
5x = 180°
x = 36°
Step 4: ∠AOC = 4 × 36° = 144°.
Answer: 144°
Correct answer: 144°
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