Given that,
The angles of a triangle are in an extended ratio of 5 : 7 : 3
Let one of angle be 5x
Let the other angle be 7x
Let the third angle be 3x
We know that,
Sum of angles in triangle is 180 degrees
Therefore,
5x + 7x + 3x = 180
15x = 180
Divide both sides by 15
x = 12
Thus the angles are:
5x = 5(12) = 60
7x = 7(12) = 84
3x = 3(12) = 36
Thus the measure of smallest angle is 36 degrees
