Question

Prove that sum of all the angles of a triangle is 180°. Also, find the angle of a triangle, if they are in the ratio 5.6.7​

Answer 1

Step-by-step explanation:

let the sides be

5x ,6x , 7x

now, 5x + 6x + 7x = 180° ( we know the sum of angles of a triangle is 180°)

18x = 180°

x = 180/18

x = 10°

now 5x = 5×10 = 50°

6x = 6×10 = 60°

7x = 7×10 = 70°

check - 50 + 60 + 70= 180°

Answer 2

Let the angles is x

by angle sum property

5x+6x+7x = 180°

18x = 180°

x = 180°÷18

x = 10°

since x =10°

5x = 50°

6x = 60°

7x = 70°

when we add all the angles

50°+60°+70° = 180°

Hence proved!