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]$latex 16^{\circ}, 56^{\circ}, 88^{\circ}$
[B]$latex 18^{\circ}, 63^{\circ}, 99^{\circ}$
[C]$latex 20^{\circ}, 70^{\circ}, 90^{\circ}$
[D]$latex 25^{\circ}, 175^{\circ}, 105^{\circ}$
$latex \mathbf{18^{\circ}, 63^{\circ}, 99^{\circ}}$
Let the measure of three angles of triangle are 2x, 7x and 11x respectively.
$latex \therefore 2x + 7x + 11x = 180^{\circ}$
$latex => 20x = 180^{\circ}$
$latex => x = \frac{180}{20} = 9^{\circ}&s=1$
∴ First angle $latex = 2x = 2 \times 9 = 18^{\circ}$
Second Angle $latex = 7x = 7 \times 9 = 63^{\circ}$
Third Angle $latex = 11x = 11 \times 9 = 99^{\circ}$
Hence option [B] is correct answer.