Question

14. The angles of a triangle are in ratio 2:7:11. The angles are
(a) (20°, 70°, 90°) (b) (30°,70°,809) (c) (18°,639.99​

Answer 1

given the ratio between the angles of the triangle are 2 : 7 : 11

let the angles be 2x, 7x and 11x respectively.

we know that the sum of angles of a triangle is 180°

therefore 2x + 7x + 11x = 180°

➡ 20x = 180°

➡ x = 180/20

➡ x = 9°

The angles are :-

• 2x = 2 × 9 = 18°
• 7x = 7 × 9 = 63°
• 11x = 11 × 9 = 99°

hence, correct option is (c) 18°, 63°, 99°

Answer 2

Let the measure of three angles of triangle are 2x, 7x and 11x respectively.

\therefore 2x + 7x + 11x = 180

= 20x = 180

=x = 180/20

=9

so angle 1 = 2x= 2×9=18

angle 2 =7x=7×9=63

angle 3 =11x=11×9=99

hope it helps you dear

mark as brainlist answer