Question

Find the magnitude of an angle , which is 1/4 of its supplement with equation​

Answer 1

Let the angle be x°.

It's Suplement = (180° - x°)

The angle is 1/4 th of its supplement.:-

$\frac{1}{4} ofx = 180 + x$

$\frac{x}{4} = 180 - x$

$x = 4(180 - x)$

$x = 720 - 4x$

$5x = 720$

$x = 144 \: degree$

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