Question

Angles of a triangle are in ratio $1:2:3$, then the greatest angle is what times smallest angle.

• A. $2$ times
• B. $9$ times
• C. $3$ times
• D. $5$ times

Answer 1

The correct option is C

$3$ times

Explanation for the correct option:

Find the greatest angle is what times smallest angle.

Let angles be $\mathrm{x},2\mathrm{x}$ and $3\mathrm{x}$.

By the angle sum property of triangles,

$\mathrm{x}+2\mathrm{x}+3\mathrm{x}=180°$

$\Rightarrow \mathrm{x}=30°$

Here, smallest angle $=30°$

So, the greatest angle $=90°$

Thus, the greatest angle is $3$ times the smallest angle.

Hence, option (C) is the correct answer.