Mathematics

If an angle is one-third of its supplement, then the measure of the angle is


ANSWER

$$45^{0}$$


SOLUTION
If one angle is one-third of its supplement, then the measure of an angle is $$45^{o}$$.
Let first angle = $$x^{o}$$
$$\dfrac{1}{3}$$ of supliment = $$\dfrac{1}{3}(180-x)$$
Now, $$3x=180^{o}-x$$
$$3x+x=180^{o}$$
$$4x=180^{o}$$
$$x=\dfrac{180}{4}=45^{o}$$
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