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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»

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°



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