ratio of angleof a triangle 2:5:3 find circulr value of least angle
Answers
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 ,
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.
★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°
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★least angle is 36°
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★ 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°