The angels of a triangle are in the ratio 2:3:4 . Find the angle of the triangle
Answers
Answered by
23
Answer:
The angles are -
- 40°
- 60°
- 80°
Step-by-step explanation:
Given :
Ratio of the angles = 2 : 3 : 4
To find :
The angles
Solution :
Let the angles be -
- 2x
- 3x
- 4x
According to the Angle sum property of triangle, all angles in triangle sum up and make 180°.
★
★ Value of 2x
★ Value of 3x
★ Value of 4x
The angles are -
- 40°
- 60°
- 80°
Answered by
9
Answer :-
Angles of the triangle are 40°, 60° and 80°.
Explanation :-
Ratio of angles of the triangle = 2 : 3 : 4
Let the angles of the triangle be 2x, 3x, 4x
We know that
Sum of the angles of the triangle = 180°
⇒2x + 3x + 4x = 180
Adding like terms
⇒9x = 180
⇒x = 180/9
⇒x = 20
One of the angle = 2x = 2(20) = 40°
Second angle = 3x = 3(20) = 60°
Third angle = 4x = 4(20) = 80°
∴ The angles of the triangle are 40°, 60° and 80°.
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