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The angles are: 54°, 90° and 36° respectively.
We are given the angles as measurements of x.
All the angles in a triangle have to add up to 180°
So, we can add all the angles in terms of x and set it equal to 180°.
It becomes:
3x° + 5x° + 2x° = 180°
10x° = 180°
Solve for x.
x = 180°/10°
x = 18
Now, substitute the value in to obtain the angles.
3x° = 3(18)° = 54°
5x° = 5(18)° = 90°
2x° = 2(18)° = 36°
54° + 90° + 36° = 180°