Question

The ratio of the angles in a triangle is 3:10:7. What is the measure of the smallest angle

Answer 1

The measure of smallest angle is 27 degree.

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,

`3x+10x+7x=180`

`20x=180`

Divide both sides by 20.

`x=9`

The value of x is 9. The measures of angles are 27, 90 and 63.

Therefore the measure of smallest angle is 27 degree.