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Solving Equations with Variables on Both Sides

If the supple...

Question

If the supplement of an angle is three times its complement find the angle

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Solution

Let, the angle be $x$
According to the question,
$(180^{\circ} - x) = 3 (90^{\circ} - x)$
$180^{\circ} - x = 270^{\circ} - 3 x$
$- x + 3 x = 270^{\circ} - 180^{\circ}$
$2 x = 90^{\circ}$
$x = 45^{\circ}$

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Solving Equations with Variables on Both Sides

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