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Answer:-
The Angles Are 40°, 60° and 80° Respectively.
Explanation:-
Given:-
- The angles of a triangle are in ratio 2:3:4.
To Find:-
- The angles.
Concept Used:-
▪︎ Angle Sum Property Of a Triangle:- In a. triangle sum of the interior three angles is always equal to 180°.
Now,
Since the angles are given in ratio 2:3:4 So let the angles be 2x, 3x and 4x respectively.
Therefore,
↦ 2x + 3x + 4x = 180°.
↦ 2x + 7x = 180°.
↦ 9x = 180°.
↦ x = 180°/9.
↦ x = 20°.
And Hence,
The Angles are:-
- 2x = 2 × 20° = 40°.
- 3x = 3 × 20° = 60°.
- 4x = 4 × 20° = 80°.
Therefore The Angles Are 40°, 60° And 80° Respectively.
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