Question

If the supplement of an angle is 2/3 of itself, then the measure of the angle in degree is​

Answer 1

Answer:

Let the required angle be x

So the supplementary angle will be 180∘−x

Given

180∘−x is two-third of x

⟹180∘−x=32x

⟹35x=180∘

⟹x=108∘⟹180∘−x=72∘

So the required angle and its supplement is 108∘,72∘ respectively

Answer 2

let the fist angle = x

then supplement = 2x/3

$x + \frac{2x}{3} = 180 \\ \\ \frac{5x}{3} = 180 \\ \\ 5x = 180 \times 3 = 540\\ \\ x = \frac{540}{5} \\ \\ x = 108$

measure of the angle is 108 degrees

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