Math, asked by ahtasamalam1994, 3 months ago

ratio of angleof a triangle 2:5:3 find circulr value of least angle​

Answers

Answered by Champion55
4

Given :

⬤ Ratio of angles of Triangle is 2:5:3 .

To Find :

⬤ Least Value of Angles of Triangle .

Solution :

Let :

  • First Angle be = 2x.
  • Second Angle be = 5x.
  • Third Angle be = 3x.

As we know that , Sum of all Angles of Triangle is 180 degree . Hence ,

\sf{2x+5x+3x=180^{\circ}}

10x = 180

x = 180/10

x = 18

Therefore , The Value of x is 18 .

Hence ,

First Angle = 2x

= 2(18)

= 36

Second Angle = 5x

= 5(18)

= 90

Third Angle = 3x

= 3(18)

= 54

Therefore , The Three Angles of the Triangle are 36° , 90° and 54° .

First Angles (36°) is the Least Angle.

Answered by Anonymous
62

\sf{Answer}

★Step by step explanation:

★Given :-

Ratio of angles in triangle = 2:5:3

★ To find :-

Angles of triangle

★Concept

The sum of angles in triangle is 180°

★Solution:-

Let the angles in triangle is

  • 2x
  • 5x
  • 3x

As we know sum of angles is 180°

So, 2x + 5x + 3x = 180°

10x = 180°

x = 18°

Finding angles

2x = 2(18)= 36°

5x = 5(18) = 90°

3x = 3(18) = 54

★ Required angles are 36°,90°,54°

___________________

★least angle is 36°

___________________

★ Verification:- ★

As we know sum of angles in atriangle is 180°

We got angles their sum should be equal to 180°

36° + 90° + 54° = 180°

180° = 180°

Hence verified

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