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 = _________
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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