Question

Prove that the sum of all the angles of a triangle is 180. Also find the angles if they are in ratio of 5:6:7.

Answer 1

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

so sum of all the angles of the triangle is 180


Hence proved.