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Two supplementary angles are in the …

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Two supplementary angles are in the ratio 2:7.Find the angles.
  • 3 answers

Kartikeya Srivastav 3 years, 9 months ago

40, 140

Gaurav Seth 3 years, 9 months ago

Let the common multiple of each term of ratio be x.

Then, ratio becomes  2x:7x

As , their sum should be 180°,

⇒2x + 7x = 180°

⇒9x = 180°

⇒x = 180 ÷ 9

⇒x = 20

So, the angles are ,

2x = 2 * x = 2*20 = 40°

7x = 7 * x = 7 * 20 = 140°

We can verify by adding them , as 140+40 = 180°

Answer : hence, the angles are 40° and 140°.

Dona Dominic 3 years, 9 months ago

2x+7x=180 x=180/9 x=20
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