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

Explanation

SOLUTION:We have angles of the triangle are in ratio `2: 1:3`
Let, the three angles of a triangle be 2k, 1k, 3k
We know that, Sum of all angles of a triangle is 180^@.
`2k + 1k + 3k = 180^@`
`6k = 180^@`
`k = 180/6
k = 30^@`
Hence, smallest angle = k = `30^@`