Question

If the angles of a triangle are in the ratio 2 : 1 : 3, then find the measure of smallest angle.

Answer 1

In the given problem, angles of ΔABC are in the ratio 2:1:3

We need to find the measure of the smallest angle.

Let,

According to the angle sum property of the triangle, in ΔABC, we get,

Thus,

Since, the measure of is the smallest of all the three angles.

Therefore, the measure of the smallest angle is .