1.

ABC is a triangle in which the angles are in the ratio 3 : 4 : 5 . PQR is a triangle in which the angles are in the ratio 5 : 6 : 7. The difference between the least angle of ABC and the least angle of PQR is aº. Then a = _________

Answer»

3x + 4x + 5x = 180°

12x = 180

x = 15

Least angle of triangle ABC is = 3 × 15 = 45°

5x + 6x + 7x = 180°

18x = 180°

x = 10

Least angle of triangle PQR = 5 × 10 = 50

Difference a° = 50 – 45

a° = 5



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