Question

each of the two equal angles of an isosceles triangle is half the third angle find the angle of the triangle

Answer 1

given

each equal angle of an isosceles triangle is half the third angle

let the third angle be x

thus other two angles are x/2 each

according to question

x + x/2 + x/2 = 180. ( angle sum property of triangle)

(2x + x +x)/ 2= 180

4x = 180*2

x = 360/4

x = 90

therefore angles are 45, 45, 90

Answer 2

let third angle will be x

1/2x+1/2x+x=180'

2x = 180'

x =90'

so third side is 90'

and first and second size =90'/2

so first and second side will be 45', 45'