Question

Find the angle which is equal to 2/7 of its suppliment

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Answer 1

Answer:

The given angles are 40 and 140

Step-by-step explanation:

The given angle = (2÷7)×(180-given angle)

Let the given angle be x.

x=(2÷7)×(180-x)

x= 51.42-(2÷7)x

1.285x=51.42

x=39.999

The angle is 39.9999 approx 40

And its supplement is 180-40=140

Answer 2

Answer:

$the \: angle \: is \: 140$ and 40

Step-by-step explanation:

$let \: the \: angle \: be \: x \\ x = 180 - \frac{2x}{7} \\ x + \frac{2x}{7} = 180 \\ \frac{7x + 2x}{7} = 180 \\ \frac{9x}{7} = 180 \\ x = \frac{180 \times 7}{9} \\ x = 20 \times 7 \\ x = 140$