Question

The ratio of the measurements of the angles of a triangle is 2:3:10. What is the smallest angle measure?

Answer 1

The smallest angle is `24^@`.

Explanation:

The 3 angles of a triangle always total `180^@`. The sum of
`2+3+10=15`.

Therefore, there must be a multiplier, k, such that
`15*k = 180^@`
Solving for k,
`k = 180^@/15 = 12^@`

Therefore the smallest angle is `2*12^@=24^@`.

I hope this helps,
Steve