An angle is equal to one-third of its supplement. Find its measure.

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Solution

Let angle be $\frac{x}{3}$ , then its supplementary will be x
$x + \frac{x}{3} = \frac{4}{3} x = 180$
$x = 135^{o}$
$\frac{135}{3} = 45^{o}$ is measure of angle.

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an angle is equal to one third of its suplement, find its measure.

Find the measure of an angle which is

(i) equal to its complement,

(ii) equal to its supplement.

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