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One angle of a triangle is \(\frac{2}3x\) grades, and another is \(\frac{3}2x\) degrees while the third is \(\frac{πx}{75}\) radians. Express all the angles in degrees.

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Given one angle of a triangle is \(\frac{2}3x\) grades and another is \(\frac{3}2x\) degree while the third is \(\frac{πx}{75}\) radians. 

We know that 1 grad = \((\frac{9}{10})°\)

We know that π rad = 180° 

⇒ 1 rad = 180°/ π 

Given \(\frac{πx}{75}\)

We know that the sum of the angles of a triangle is 180°.

⇒ 45 x° = 180° × 10° 

⇒ 45 x° = 1800° 

⇒ x° = 1800°/ 45° 

∴ x = 40° 

∴ The angles of the triangle are

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