Question

The angles of a triangle are in the ratio 5:6:7. Find each angle

Answer 1

Let x represent the scale factor, the ratios are multiplied by: 5x°+6x°+7x°=180° 18x°=180° x =10. Smallest Angle 5x°=5(10)°=50°.

Answer 2

let angles of triangle be x
then,
5x,6x,7x
now,
sum of angles of triangle is 180
5x + 6x+ 7x =18
18x = 180
x = 10
now
5x = 5×10 =50
6x = 6×10 = 60
7x = 7×10 = 70