Answer:
The measure of smallest angle is 27 degree.
Step-by-step explanation:
It is given that the ratio of the angles in a triangle is 3:10:7.
Let the measure of angles are 3x,10x and 7x.
According to angle sum property, the sum of interior angles of a triangle is 180 degree.
Use angle sum property,
[tex]3x+10x+7x=180[/tex]
[tex]20x=180[/tex]
Divide both sides by 20.
[tex]x=9[/tex]
The value of x is 9. The measures of angles are 27, 90 and 63.
Therefore the measure of smallest angle is 27 degree.