Question

If the angles of a triangle are in the ratio 1: 2 -- k: 4 + k, then the measure of the smallest angle will be -

• A. Increases with k
• B. Proportional to 1/k
• C. Proportional to1/k³
• D. Independent of K

Answer 1

The correct option is D

Independent of K

Let the smaller angle be `x'

x + x (2-k) + x (4+k) =180${}^0$

$\Rightarrow$ x= $\frac{{180}^0}{7}$

$\therefore$ x is independent of k.