Question

The outer angles of the triangle are in the ratio 4 : 5 : 6. Find the measure of the smallest angle.

• A. 96

Answer 1

The correct option is A 96

Let the angles be $4x$ , $5x$ and $6x$.

The sum of the outer angles of the triangle is 360°

$\therefore 4x+5x+6x=360°$

$\Rightarrow 15x=360°$

$\Rightarrow x=24°$

Hence the measure of the angles are
$4x=4\times 24=96°5x=5\times 24=120°6x=6\times 24=144°$

Therefore, the measure of smallest angle is 96°.