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.

Comments