An angle is two-thirds of its supplementary angle. Find the angle.

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Solution

Let the angle be $θ$ .
$∴$ $θ = \frac{2}{3} (180 - θ)$
$\Rightarrow 3 θ = 360 - 2 θ$
$\Rightarrow 5 θ = 360 \Rightarrow θ = 72^{0}$

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An angle is two-thirds of its supplementary angle. Find the angle.

Let the angle be θ.∴ θ=23(180−θ)⇒3θ=360−2θ⇒5θ=360⇒θ=720

Let the angle be $θ$ .
$∴$ $θ = \frac{2}{3} (180 - θ)$
$\Rightarrow 3 θ = 360 - 2 θ$
$\Rightarrow 5 θ = 360 \Rightarrow θ = 72^{0}$