Question

If there are three angles at a point and they are in the ratio 1 : 3 : 2, What is the value of each angle ?

• A. 40°, 120° and 80°
• B. 60°, 180° and 120°
• C. 60°, 200° and 100°
• D. 40°, 200° and 120°

Answer 1

The correct option is B 60°, 180° and 120°

Consider the following figure

Let the angles at a point be x${}^{\circ }$, 3x${}^{\circ }$ and 2x${}^{\circ }$.
Since it forms a complete angle, their sum is 360${}^{\circ }$ (Angles at a point form 360${}^{\circ }$ )
$\therefore$ x${}^{\circ }$ + 3x${}^{\circ }$ + 2x${}^{\circ }$ = 360${}^{\circ }$
$\Rightarrow$ 6x = 360${}^{\circ }$
$\Rightarrow$x = 60${}^{\circ }$
$\therefore$ 2x = 120 and 3x = 180${}^{\circ }$