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19 votes
19 votes
If two supplementary angles are in the ratio of 7: 8 ,find them. ​

User Giles Thomas
by
3.1k points

1 Answer

15 votes
15 votes

Answer:

  • 84° and 96°

Step-by-step explanation :

Given :

  • Two supplementary angles are in the ratio of 7: 8

To Find :

  • The two angles

Solution :

Let the angles be 7x and 8x respectively

As We know that, Sum of supplementary angles is always 180°

So, Adding Both the angles,

→ 7x + 8x = 180°

→ 15x = 180°

→ x = 180/15

x = 12

Hence,

  • 7x = 7(12) = 84°
  • 8x = 8(12) = 96°

Therefore,

  • The required angles are 84° and 96°
User Konjac
by
3.0k points
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