In a right-angled triangle, the ratio of angles other than right angle is 3 : 2. What are the measure
of the angles?
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angle 1 = 90°
angle 2 : angle 3 = 3 : 2
let the constant ratios be x
angle 2 = 3x
angle 3 = 2x
sum of all angles of triangle = 180°
90° + 3x + 2x = 180°
90° + 5x = 180°
5x = 180° - 90°
5x = 90°
x = 90/5 = 18°
angle 2 = 3x = 3 × 18 = 54°
angle 3 = 2x = 2 × 18 = 36°
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anoop singh sidhu
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