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The angles of a triangle are in the ratio 2/4 / 3 . Find the measure of the greatest angle. a) 60 ° b) 50⁰ c) 40 ° d) 80⁰
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80° is the correct answer
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Ratio=2:4:3
let , angles are 2x , 4x ,3x
We know,
Sum of measure of angles = 180°
So,
2x+4x+3x=180°
or 9x=180°
or x= 180°/9
or x=20°
Therefore Greatest angle=4x=4×20°=80°
(Note: In the equation , use ‘implies sign’ instead of ‘or’ . I used ‘or’ because ‘implies’ wasn't on keyboard)
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