## 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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## Answers ( )

angle 1 = 90°angle 2 : angle 3 = 3 : 2let the constant ratios be xangle 2 = 3xangle 3 = 2xsum 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°