# The measure of the angles of a triangle are in the ratio 2 : 7 : 11. Measures of angles are :

The measure of the angles of a triangle are in the ratio 2 : 7 : 11. Measures of angles are :
[A]$16^{\circ}, 56^{\circ}, 88^{\circ}$
[B]$18^{\circ}, 63^{\circ}, 99^{\circ}$
[C]$20^{\circ}, 70^{\circ}, 90^{\circ}$
[D]$25^{\circ}, 175^{\circ}, 105^{\circ}$

$\mathbf{18^{\circ}, 63^{\circ}, 99^{\circ}}$
Let the measure of three angles of triangle are 2x, 7x and 11x respectively.
$\therefore 2x + 7x + 11x = 180^{\circ}$
$=> 20x = 180^{\circ}$
$=> x = \frac{180}{20} = 9^{\circ}$
∴ First angle $= 2x = 2 \times 9 = 18^{\circ}$
Second Angle $= 7x = 7 \times 9 = 63^{\circ}$
Third Angle $= 11x = 11 \times 9 = 99^{\circ}$
Hence option [B] is correct answer.