The angles of a tringle are in ratio 2:3:4, find the angles
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let the ratio of the angles be x
So, 2x:3x:4x
sum of all angles of a triangle is 180°
Now,
2x + 3x + 4x = 180
9x = 180
x = 180/9
x = 20°
the angles are
2x = 2 x 20 = 40°
3x = 60°
4x = 80°
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☆ Solution ☆
Given :-
- The angles of a tringle are in ratio 2 : 3 : 4 .
To Find :-
- The angles.
Step-by-Step-Explaination :-
Let the angles be 2x, 3x and 4x
As we know that :-
Sum of all three angles of a triangle is 180° .
According to the question,
2x + 3x + 4x = 180
9x = 180
x = 180/9
x = 20
Then,
1st angle = 2x = 2 × 20 = 40°
2nd angle = 3x = 3 × 20 = 60°
3rd angle = 4x = 4 × 20 = 80°
Therefore,
The angles of the triangle are 40°, 60° and 80° .
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