Math, asked by kauramardeep481, 5 months ago

please help me i need a urgent help please solve this problem please answere me and please answere me on a page​

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Answers

Answered by Anonymous
10

Required Answer :

  • first Angle of triangle = 52°
  • Second Angle of triangle = 78°
  • Third Angle of triangle = 50°

Given :

  • one Exterior angles of triangle = 130°
  • interior two opposite angles are in ratio = 2:3

To find :

  • All Angels of given triangle.

Some property of triangle will be used in this question are :---

One property of triangle is - Sum of two interior angle of triangle is equal to Measure of one exterior angle.]

One property of triangle is that- Sum of interior angle of triangle is always 180°

Explanation :

  • let suppose that two Given interior angle of triangle are => 2x and 3x

  • And, third interior angles = y

Hence,

According to the property of triangle which is given above , we can make a equation as :-

  • 2x + 3x = 130° ------ ( 1st given property)

=> 5x = 130°

=> x = 130/5

=> x = 26°

Now, we have the value of x.

so, putting the value of x in 2x and 3x.

  • 2x

=> 2 × 26°

=> 52°

  • 3x

=> 3× 26

=> 78°

So, by this Explanation, we found that two angles of triangle = 52° and 78°

Now,

FINDING THIRD ANGLE :-

By using second Given property of triangle, We have =>

52° + 78° + y = 180°

=> 130° + y = 180°

=> y = 180° - 130°

=> y = 50°

So, third angle of triangle is = 50°

Hence, By this Explanation we found three angles of triangle as ===>

  1. 52°
  2. 78°
  3. 50°

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