The angle of the triangle ar in ratio 2: 3: 4 . The largest angle is
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Ratios of angles of a triangle = 2:3:4
Let the common multiple be x
1st angle = 2x
2nd angle = 3x
3rd angle = 4x
According to the angle sum property of a triangle
1st angle + 2nd angle + 3rd angle = 180⁰
2x + 3x + 4x = 180⁰
=> 9x = 180⁰
=> x = 180/9
=> x = 20⁰
1st angle = 2x = 2×20 = 40⁰
2nd angle = 3x = 3×20 = 60⁰
3rd angle = 4x = 4×20 = 80⁰
Therefore the largest angle is the 3rd angle.
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