Question

The angles ratio of a triangle are $\frac{1}{20}:\frac{1}{4}:\frac{1}{5}$. Find the smallest angle.

Answer 1

Given the angles ratio of a triangle are $\frac{1}{20}:\frac{1}{4}:\frac{1}{5}$ i.e. $1:5:4$.

Let the angles be $x,5x,4x$.

Then we've,

$x+5x+4x={180}^o$

or, $x={18}^o$.

So the smallest angle is ${18}^o$.