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Question

One angle of a triangle 23x grades and another is 32x degrees while the third is πx75 radians. Express all the angles in degrees.

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Solution

One angle of the triangle = 23x grad
=23x×910° 1 grad=910°=35x°

Another angle = 32x°

1 radian=180π°
Third angle of the triangle =xπ75 rad =180π×xπ75° =125x°
Now,
35x+32x+125x=180 (Angle sum property)6x+15x+24x10=18045x10=180x=40


Thus, the angles are:
35x °=24°32x °=60° 12x5°=96°.

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