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Question
Find the value of ‘x’ for the following figure:

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Solution
In given figure, BOC is a straight line
∴ ∠AOC + ∠AOB = 180°
⇒ 75° + 5x + 20° = 180°
⇒ 5x + 95° = 180°
⇒ 5x = 180° - 95° = 85°
⇒ x = `85^circ/5 = 17^circ`
∴ x = 17°
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