Question

If the angles of triangle are in ratio 2:6:7 ehich is the smallest angle

Answer 1

Let common ratio be x
Angles are 2x
6x and 7x
By angle sum property of a triangle
2x + 6x + 7x = 180°
15x = 180°
x = 180°÷ 15
x = 12°
Angles are 2×12°= 24°
6×12°= 72°
7×12°= 84°
Hence, smallest angles is 24°

Answer 2

Let common ratio be x
Angles are 2x6x and 7x
By angle sum property of a triangle
2x + 6x + 7x = 180°
15x = 180°
x = 180°÷ 15x = 12°
Angles are 2×12°= 24°
6×12°= 72°
7×12°= 84°
Hence, smallest angles is 24°