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Question
Which angle is equal to two-third of its supplement?
Solution
Let the angle be x
According to the problem,
x = `2/3` × (180° – x)
3x = 2(180° – x)
3x = 360° – 2x
3x + 2x = 360°
5x = 360°
x = `(360^circ)/5`
x = 72°
∴ The angle is 72°
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