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The angles of a triangle are arranged in ascending order of magnitude. If the difference between two consecutive angles is 10°, find the three angles.

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The difference between two consecutive angles is 10°

Let x, x + 10°, x + 20° be the consecutive angles 

x + x + 10° + x + 20° = 180°

3x + 30° = 180°

3x = 180° - 30° 

3x = 150° 

or x = 50° 

Again, 

x + 10° = 50° + 10° = 60° 

x + 20° = 50° + 20° = 70° 

Answer: Three angles are 50°, 60° and 70°.

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