Question

the anfles of a triangle are in a ratio 2:7:11.the angles are

Answer 1

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

Answer 2

Hope it helps you ,☺️