the angles of a triangle are in an extended ratio of 5:7:3. what is the measure of the smallest angle?

The measure of smallest angle is 36 degreesSolution:

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