Question

If the supplement of an angle is two-third of itself. Determine the angle and its
supplement
​

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.

$⟹18 0 - x = \frac{2x}{3}$

$⟹ \frac{5}{3} x = 180$

$⟹x = 108⟹180 - x = 72$

so the required angle and it's supplement is 108 and 72 respectively .

Step-by-step explanation:

Hope this may help you !

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Answer 2

Answer:

let the required angle be x .

so the supplementary angle will be 180-x.

given,

180-x is two third of x.

⟹18 0 - x = \frac{2x}{3}⟹180−x=

3

2x

⟹ \frac{5}{3} x = 180⟹

3

5

x=180

⟹x = 108⟹180 - x = 72⟹x=108⟹180−x=72

so the required angle and it's supplement is 108 and 72 respectively .

Step-by-step explanation:

I hope it helps you