Question

if the supplement of an angle is two-third of itself, thenfind its supplement

Answer 1

$a + b = 180 \\ a = \frac{2}{3} b \\ \frac{2}{3} b + b = 180 \\ \frac{2b + 3b}{3} = 180 \\ 5b = 180 \times 3 \\ b = 108 \\ a = 180 - b = 72$

Answer 2

ANSWER
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$let \: the \: angle \: be \: x \\ \\ supplement \: of \: the \: angle \: = \frac{2}{3} x \\ \\ we \: know - - - - - \\ \\ sum \: of \: supplementary \: angles \: is \: 180 \\ \\ the \: equation \: formed \: = \\ \\ = > x + \frac{2}{3} x = 180 \\ \\ = > \frac{3x + 2x}{3} = 180 \\ \\ = > \frac{5x}{3} = 180 \\ \\ = > 5x = 180 \times 3 \\ \\ = > x = \frac{180 \times 3}{5} \\ \\ = > x = 36 \times 3 \\ \\ = > x = 108$

One Angle = 108° ANS

Another angle = 2/3 × 108 = 2 × 36

= 72° ANS

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